404578056960 has 1728 divisors, whose sum is σ = 1874343421440. Its totient is φ = 81656709120.

The previous prime is 404578056929. The next prime is 404578057001. The reversal of 404578056960 is 69650875404.

404578056960 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 78 + 0 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 404578056897 and 404578056906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 689229787 + ... + 689230373.

It is an arithmetic number, because the mean of its divisors is an integer number (1084689480).

Almost surely, 2^404578056960 is an apocalyptic number.

404578056960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404578056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937171710720).

404578056960 is an abundant number, since it is smaller than the sum of its proper divisors (1469765364480).

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

404578056960 is a wasteful number, since it uses less digits than its factorization.

404578056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 404578056960 in words is "four hundred four billion, five hundred seventy-eight million, fifty-six thousand, nine hundred sixty".