557062272 has 160 divisors (see below), whose sum is σ = 1785763980. Its totient is φ = 171362304.

The previous prime is 557062243. The next prime is 557062279. The reversal of 557062272 is 272260755.

557062272 is a `hidden beast` number, since 5 + 570 + 62 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 554319936 + 2742336 = 23544^2 + 1656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (557062279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132718 + ... + 136850.

Almost surely, 2^557062272 is an apocalyptic number.

557062272 is a gapful number since it is divisible by the number (52) 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 557062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892881990).

557062272 is an abundant number, since it is smaller than the sum of its proper divisors (1228701708).

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

557062272 is a wasteful number, since it uses less digits than its factorization.

557062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 557062272 is about 23602.1666802012. The cubic root of 557062272 is about 822.8131970578.

The spelling of 557062272 in words is "five hundred fifty-seven million, sixty-two thousand, two hundred seventy-two".