557713296 has 120 divisors (see below), whose sum is σ = 1862276640. Its totient is φ = 159340608.

The previous prime is 557713279. The next prime is 557713313. The reversal of 557713296 is 692317755.

557713296 is a `hidden beast` number, since 557 + 7 + 1 + 3 + 2 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (557713279) and next prime (557713313).

It is a super-3 number, since 3×557713296³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7995 + ... + 34341.

It is an arithmetic number, because the mean of its divisors is an integer number (15518972).

Almost surely, 2^557713296 is an apocalyptic number.

557713296 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 557713296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931138320).

557713296 is an abundant number, since it is smaller than the sum of its proper divisors (1304563344).

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

557713296 is a wasteful number, since it uses less digits than its factorization.

557713296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26378 (or 26359 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 557713296 is about 23615.9542682484. The cubic root of 557713296 is about 823.1336056406.

It can be divided in two parts, 557713 and 296, that added together give a square (558009 = 747²).

The spelling of 557713296 in words is "five hundred fifty-seven million, seven hundred thirteen thousand, two hundred ninety-six".