404297352 has 256 divisors, whose sum is σ = 1267200000. Its totient is φ = 118879488.

The previous prime is 404297339. The next prime is 404297353. The reversal of 404297352 is 253792404.

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

It is not an unprimeable number, because it can be changed into a prime (404297353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5117649 + ... + 5117727.

It is an arithmetic number, because the mean of its divisors is an integer number (4950000).

Almost surely, 2^404297352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404297352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633600000).

404297352 is an abundant number, since it is smaller than the sum of its proper divisors (862902648).

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

404297352 is a wasteful number, since it uses less digits than its factorization.

404297352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 404297352 is about 20107.1467891394. The cubic root of 404297352 is about 739.4355032641.

The spelling of 404297352 in words is "four hundred four million, two hundred ninety-seven thousand, three hundred fifty-two".