404725104 has 180 divisors, whose sum is σ = 1350694800. Its totient is φ = 112734720.

The previous prime is 404725081. The next prime is 404725117. The reversal of 404725104 is 401527404.

404725104 is a `hidden beast` number, since 404 + 7 + 251 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288597 + ... + 289995.

It is an arithmetic number, because the mean of its divisors is an integer number (7503860).

Almost surely, 2^404725104 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 404725104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675347400).

404725104 is an abundant number, since it is smaller than the sum of its proper divisors (945969696).

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

404725104 is a wasteful number, since it uses less digits than its factorization.

404725104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 404725104 is about 20117.7807921252. The cubic root of 404725104 is about 739.6961888966.

The spelling of 404725104 in words is "four hundred four million, seven hundred twenty-five thousand, one hundred four".