557858640 has 160 divisors (see below), whose sum is σ = 1805884416. Its totient is φ = 142295040.

The previous prime is 557858633. The next prime is 557858641. The reversal of 557858640 is 46858755.

It is a super-2 number, since 2×557858640² = 622412524445299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 557858640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557858641) 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, 721294 + ... + 722066.

Almost surely, 2^557858640 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 557858640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902942208).

557858640 is an abundant number, since it is smaller than the sum of its proper divisors (1248025776).

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

557858640 is a wasteful number, since it uses less digits than its factorization.

557858640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 557858640 is about 23619.0313095182. The cubic root of 557858640 is about 823.2051042286.

The spelling of 557858640 in words is "five hundred fifty-seven million, eight hundred fifty-eight thousand, six hundred forty".