404264520 has 384 divisors, whose sum is σ = 1572480000. Its totient is φ = 92378880.

The previous prime is 404264513. The next prime is 404264563. The reversal of 404264520 is 25462404.

404264520 is a `hidden beast` number, since 40 + 42 + 64 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031381 + ... + 2031579.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2^404264520 is an apocalyptic number.

404264520 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 404264520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).

404264520 is an abundant number, since it is smaller than the sum of its proper divisors (1168215480).

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

404264520 is a wasteful number, since it uses less digits than its factorization.

404264520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 404264520 is about 20106.3303464357. The cubic root of 404264520 is about 739.4154868055.

The spelling of 404264520 in words is "four hundred four million, two hundred sixty-four thousand, five hundred twenty".