404756352 has 576 divisors, whose sum is σ = 1630661760. Its totient is φ = 97044480.

The previous prime is 404756351. The next prime is 404756371. The reversal of 404756352 is 253657404.

404756352 is a `hidden beast` number, since 4 + 0 + 47 + 563 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404756351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31135098 + ... + 31135110.

It is an arithmetic number, because the mean of its divisors is an integer number (2831010).

Almost surely, 2^404756352 is an apocalyptic number.

404756352 is a gapful number since it is divisible by the number (42) 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 404756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815330880).

404756352 is an abundant number, since it is smaller than the sum of its proper divisors (1225905408).

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

404756352 is a wasteful number, since it uses less digits than its factorization.

404756352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 404756352 is about 20118.5574035516. The cubic root of 404756352 is about 739.7152252182.

The spelling of 404756352 in words is "four hundred four million, seven hundred fifty-six thousand, three hundred fifty-two".