404638752 has 48 divisors (see below), whose sum is σ = 1213918272. Its totient is φ = 115610880.

The previous prime is 404638739. The next prime is 404638757. The reversal of 404638752 is 257836404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 404638752.

It is not an unprimeable number, because it can be changed into a prime (404638757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300399 + ... + 301742.

It is an arithmetic number, because the mean of its divisors is an integer number (25289964).

Almost surely, 2^404638752 is an apocalyptic number.

404638752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

404638752 is an abundant number, since it is smaller than the sum of its proper divisors (809279520).

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

404638752 is a wasteful number, since it uses less digits than its factorization.

404638752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602161 (or 602153 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 404638752 is about 20115.6345164650. The cubic root of 404638752 is about 739.6435780521.

The spelling of 404638752 in words is "four hundred four million, six hundred thirty-eight thousand, seven hundred fifty-two".