| Base | Representation |
|---|---|
| bin | 11000010101001… |
| … | …010010011010000 |
| 3 | 1001110002201200100 |
| 4 | 120111022103100 |
| 5 | 1313444403100 |
| 6 | 104301052400 |
| 7 | 13054434426 |
| oct | 3025122320 |
| 9 | 1043081610 |
| 10 | 408200400 |
| 11 | 19a467003 |
| 12 | b4857100 |
| 13 | 66752cca |
| 14 | 3c2db116 |
| 15 | 25c83400 |
| hex | 1854a4d0 |
408200400 has 180 divisors, whose sum is σ = 1427949900. Its totient is φ = 107980800.
The previous prime is 408200363. The next prime is 408200407. The reversal of 408200400 is 4002804.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 180311184 + 227889216 = 13428^2 + 15096^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (408200407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536020 + ... + 536780.
It is an arithmetic number, because the mean of its divisors is an integer number (7933055).
Almost surely, 2408200400 is an apocalyptic number.
408200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 408200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713974950).
408200400 is an abundant number, since it is smaller than the sum of its proper divisors (1019749500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
408200400 is a wasteful number, since it uses less digits than its factorization.
408200400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 934 (or 920 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 408200400 is about 20203.9699069267. The cubic root of 408200400 is about 741.8073668734.
The spelling of 408200400 in words is "four hundred eight million, two hundred thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •