404616576 has 128 divisors (see below), whose sum is σ = 1322899200. Its totient is φ = 106702848.

The previous prime is 404616559. The next prime is 404616601. The reversal of 404616576 is 675616404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29155 + ... + 40733.

It is an arithmetic number, because the mean of its divisors is an integer number (10335150).

Almost surely, 2^404616576 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 404616576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661449600).

404616576 is an abundant number, since it is smaller than the sum of its proper divisors (918282624).

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

404616576 is a wasteful number, since it uses less digits than its factorization.

404616576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11616 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 404616576 is about 20115.0832958753. The cubic root of 404616576 is about 739.6300658880.

The spelling of 404616576 in words is "four hundred four million, six hundred sixteen thousand, five hundred seventy-six".