557029440 has 224 divisors, whose sum is σ = 2144085120. Its totient is φ = 135014400.

The previous prime is 557029409. The next prime is 557029469. The reversal of 557029440 is 44920755.

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 = 557029395 and 557029404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92110 + ... + 97970.

Almost surely, 2^557029440 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 557029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072042560).

557029440 is an abundant number, since it is smaller than the sum of its proper divisors (1587055680).

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

557029440 is a wasteful number, since it uses less digits than its factorization.

557029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 557029440 is about 23601.4711405878. The cubic root of 557029440 is about 822.7970318192.

The spelling of 557029440 in words is "five hundred fifty-seven million, twenty-nine thousand, four hundred forty".