404901504 has 240 divisors, whose sum is σ = 1403470530. Its totient is φ = 115540992.

The previous prime is 404901493. The next prime is 404901547. The reversal of 404901504 is 405109404.

It can be written as a sum of positive squares in only one way, i.e., 347747904 + 57153600 = 18648^2 + 7560^2 .

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 29 ways as a sum of consecutive naturals, for example, 507634 + ... + 508430.

Almost surely, 2^404901504 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 404901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701735265).

404901504 is an abundant number, since it is smaller than the sum of its proper divisors (998569026).

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

404901504 is an equidigital number, since it uses as much as digits as its factorization.

404901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 404901504 is about 20122.1644958985. The cubic root of 404901504 is about 739.8036391586.

The spelling of 404901504 in words is "four hundred four million, nine hundred one thousand, five hundred four".