557859456 has 384 divisors, whose sum is σ = 2113113600. Its totient is φ = 136857600.

The previous prime is 557859431. The next prime is 557859473. The reversal of 557859456 is 654958755.

557859456 is a `hidden beast` number, since 557 + 85 + 9 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×557859456² = 622414345297231872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685211 + ... + 1685541.

It is an arithmetic number, because the mean of its divisors is an integer number (5502900).

Almost surely, 2^557859456 is an apocalyptic number.

557859456 is a gapful number since it is divisible by the number (56) 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 557859456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056556800).

557859456 is an abundant number, since it is smaller than the sum of its proper divisors (1555254144).

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

557859456 is a wasteful number, since it uses less digits than its factorization.

557859456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The square root of 557859456 is about 23619.0485837173. The cubic root of 557859456 is about 823.2055056057.

The spelling of 557859456 in words is "five hundred fifty-seven million, eight hundred fifty-nine thousand, four hundred fifty-six".