557295480 has 384 divisors, whose sum is σ = 2190988800. Its totient is φ = 120185856.

The previous prime is 557295457. The next prime is 557295503. The reversal of 557295480 is 84592755.

557295480 is a `hidden beast` number, since 557 + 2 + 95 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (557295457) and next prime (557295503).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4009251 + ... + 4009389.

It is an arithmetic number, because the mean of its divisors is an integer number (5705700).

Almost surely, 2^557295480 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 557295480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095494400).

557295480 is an abundant number, since it is smaller than the sum of its proper divisors (1633693320).

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

557295480 is a wasteful number, since it uses less digits than its factorization.

557295480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 557295480 is about 23607.1065571366. The cubic root of 557295480 is about 822.9280016071.

The spelling of 557295480 in words is "five hundred fifty-seven million, two hundred ninety-five thousand, four hundred eighty".