557504640 has 512 divisors, whose sum is σ = 2467584000. Its totient is φ = 115568640.

The previous prime is 557504639. The next prime is 557504653. The reversal of 557504640 is 46405755.

It is a happy number.

557504640 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 0 + 4 + 640 = 666.

It is a super-2 number, since 2×557504640² = 621622847243059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 557504595 and 557504604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330351 + ... + 1330769.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^557504640 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 557504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

557504640 is an abundant number, since it is smaller than the sum of its proper divisors (1910079360).

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

557504640 is a wasteful number, since it uses less digits than its factorization.

557504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 557504640 is about 23611.5361634943. The cubic root of 557504640 is about 823.0309404717.

The spelling of 557504640 in words is "five hundred fifty-seven million, five hundred four thousand, six hundred forty".