557706272 has 48 divisors (see below), whose sum is σ = 1135959552. Its totient is φ = 269345280.

The previous prime is 557706271. The next prime is 557706287. The reversal of 557706272 is 272607755.

It is a super-2 number, since 2×557706272² = 622072571656275968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (557706271) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 133073 + ... + 137199.

It is an arithmetic number, because the mean of its divisors is an integer number (23665824).

Almost surely, 2^557706272 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 557706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567979776).

557706272 is an abundant number, since it is smaller than the sum of its proper divisors (578253280).

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

557706272 is a wasteful number, since it uses less digits than its factorization.

557706272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 41.

The square root of 557706272 is about 23615.8055547551. The cubic root of 557706272 is about 823.1301500331.

The spelling of 557706272 in words is "five hundred fifty-seven million, seven hundred six thousand, two hundred seventy-two".