557934080 has 80 divisors (see below), whose sum is σ = 1459419984. Its totient is φ = 202874880.

The previous prime is 557934061. The next prime is 557934163. The reversal of 557934080 is 80439755.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×557934080² = 622580875250892800, 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 7 ways as a sum of consecutive naturals, for example, 18254 + ... + 38066.

Almost surely, 2^557934080 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 557934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729709992).

557934080 is an abundant number, since it is smaller than the sum of its proper divisors (901485904).

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

557934080 is a wasteful number, since it uses less digits than its factorization.

557934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19847 (or 19831 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 557934080 is about 23620.6282727619. The cubic root of 557934080 is about 823.2422102798.

The spelling of 557934080 in words is "five hundred fifty-seven million, nine hundred thirty-four thousand, eighty".