557267256 has 128 divisors (see below), whose sum is σ = 1905254400. Its totient is φ = 146966400.

The previous prime is 557267251. The next prime is 557267309. The reversal of 557267256 is 652762755.

557267256 is a `hidden beast` number, since 5 + 572 + 6 + 72 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557267251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5481 + ... + 33831.

It is an arithmetic number, because the mean of its divisors is an integer number (14884800).

Almost surely, 2^557267256 is an apocalyptic number.

557267256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557267256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952627200).

557267256 is an abundant number, since it is smaller than the sum of its proper divisors (1347987144).

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

557267256 is a wasteful number, since it uses less digits than its factorization.

557267256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28386 (or 28376 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 557267256 is about 23606.5087634745. The cubic root of 557267256 is about 822.9141090894.

The spelling of 557267256 in words is "five hundred fifty-seven million, two hundred sixty-seven thousand, two hundred fifty-six".