557160240 has 320 divisors, whose sum is σ = 2155862016. Its totient is φ = 115900416.

The previous prime is 557160239. The next prime is 557160251. The reversal of 557160240 is 42061755.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 557160198 and 557160207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2118349 + ... + 2118611.

Almost surely, 2^557160240 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 557160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077931008).

557160240 is an abundant number, since it is smaller than the sum of its proper divisors (1598701776).

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

557160240 is a wasteful number, since it uses less digits than its factorization.

557160240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 557160240 is about 23604.2419916421. The cubic root of 557160240 is about 822.8614290314.

The spelling of 557160240 in words is "five hundred fifty-seven million, one hundred sixty thousand, two hundred forty".