405056400 has 120 divisors (see below), whose sum is σ = 1482922944. Its totient is φ = 92582400.

The previous prime is 405056363. The next prime is 405056401. The reversal of 405056400 is 4650504.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (405056401) 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 23 ways as a sum of consecutive naturals, for example, 15711 + ... + 32510.

Almost surely, 2^405056400 is an apocalyptic number.

405056400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405056400 is an abundant number, since it is smaller than the sum of its proper divisors (1077866544).

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

405056400 is a wasteful number, since it uses less digits than its factorization.

405056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48249 (or 48238 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 405056400 is about 20126.0130179825. The cubic root of 405056400 is about 739.8979649917.

The spelling of 405056400 in words is "four hundred five million, fifty-six thousand, four hundred".