| Base | Representation |
|---|---|
| bin | 10111000101111… |
| … | …001000101000000 |
| 3 | 222222222222222200 |
| 4 | 113011321011000 |
| 5 | 1243134423410 |
| 6 | 102235433200 |
| 7 | 12413006526 |
| oct | 2705710500 |
| 9 | 888888880 |
| 10 | 387420480 |
| 11 | 189763817 |
| 12 | a98b5800 |
| 13 | 623588b5 |
| 14 | 3964c316 |
| 15 | 2402b3c0 |
| hex | 17179140 |
387420480 has 336 divisors, whose sum is σ = 1452853584. Its totient is φ = 94371840.
The previous prime is 387420479. The next prime is 387420499. The reversal of 387420480 is 84024783.
It can be written as a sum of positive squares in 8 ways, for example, as 43243776 + 344176704 = 6576^2 + 18552^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 3 and base 9.
It is a zygodrome in base 3.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2007264 + ... + 2007456.
It is an arithmetic number, because the mean of its divisors is an integer number (4323969).
Almost surely, 2387420480 is an apocalyptic number.
387420480 is a gapful number since it is divisible by the number (30) 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 387420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726426792).
387420480 is an abundant number, since it is smaller than the sum of its proper divisors (1065433104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
387420480 is a wasteful number, since it uses less digits than its factorization.
387420480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 274 (or 261 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 36.
The square root of 387420480 is about 19682.9997713763. Note that the first 3 decimals coincide. The cubic root of 387420480 is about 728.9999943550. Note that the first 5 decimals are identical.
The spelling of 387420480 in words is "three hundred eighty-seven million, four hundred twenty thousand, four hundred eighty".
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