557125344 has 96 divisors (see below), whose sum is σ = 1636992000. Its totient is φ = 184332672.

The previous prime is 557125339. The next prime is 557125363. The reversal of 557125344 is 443521755.

557125344 is a `hidden beast` number, since 55 + 71 + 2 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 557125299 and 557125308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117777 + ... + 122415.

It is an arithmetic number, because the mean of its divisors is an integer number (17052000).

Almost surely, 2^557125344 is an apocalyptic number.

557125344 is a gapful number since it is divisible by the number (54) 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 557125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818496000).

557125344 is an abundant number, since it is smaller than the sum of its proper divisors (1079866656).

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

557125344 is a wasteful number, since it uses less digits than its factorization.

557125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4783 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 557125344 is about 23603.5027908995. The cubic root of 557125344 is about 822.8442495500.

The spelling of 557125344 in words is "five hundred fifty-seven million, one hundred twenty-five thousand, three hundred forty-four".