405501600 has 144 divisors (see below), whose sum is σ = 1508528448. Its totient is φ = 92682240.

The previous prime is 405501581. The next prime is 405501619. The reversal of 405501600 is 6105504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405501581) and next prime (405501619).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4732 + ... + 28868.

It is an arithmetic number, because the mean of its divisors is an integer number (10475892).

Almost surely, 2^405501600 is an apocalyptic number.

405501600 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 405501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754264224).

405501600 is an abundant number, since it is smaller than the sum of its proper divisors (1103026848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405501600 is a wasteful number, since it uses less digits than its factorization.

405501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24167 (or 24154 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 405501600 is about 20137.0702933669. The cubic root of 405501600 is about 740.1689412186.

The spelling of 405501600 in words is "four hundred five million, five hundred one thousand, six hundred".