557086464 has 288 divisors, whose sum is σ = 1907297280. Its totient is φ = 158515200.

The previous prime is 557086463. The next prime is 557086471. The reversal of 557086464 is 464680755.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557086463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1292329 + ... + 1292759.

It is an arithmetic number, because the mean of its divisors is an integer number (6622560).

Almost surely, 2^557086464 is an apocalyptic number.

557086464 is a gapful number since it is divisible by the number (54) 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 557086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953648640).

557086464 is an abundant number, since it is smaller than the sum of its proper divisors (1350210816).

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

557086464 is a wasteful number, since it uses less digits than its factorization.

557086464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 557086464 is about 23602.6791699587. The cubic root of 557086464 is about 822.8251078798.

The spelling of 557086464 in words is "five hundred fifty-seven million, eighty-six thousand, four hundred sixty-four".