404979857568 has 576 divisors, whose sum is σ = 1409672968704. Its totient is φ = 112752000000.

The previous prime is 404979857561. The next prime is 404979857713. The reversal of 404979857568 is 865758979404.

404979857568 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 7 + 9 + 8 + 57 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 404979857496 and 404979857505.

It is not an unprimeable number, because it can be changed into a prime (404979857561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279103243 + ... + 279104693.

It is an arithmetic number, because the mean of its divisors is an integer number (2447348904).

Almost surely, 2^404979857568 is an apocalyptic number.

404979857568 is a gapful number since it is divisible by the number (48) 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 404979857568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704836484352).

404979857568 is an abundant number, since it is smaller than the sum of its proper divisors (1004693111136).

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

404979857568 is a wasteful number, since it uses less digits than its factorization.

404979857568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 404979857568 in words is "four hundred four billion, nine hundred seventy-nine million, eight hundred fifty-seven thousand, five hundred sixty-eight".