557164000 has 48 divisors (see below), whose sum is σ = 1368961776. Its totient is φ = 222864000.

The previous prime is 557163953. The next prime is 557164021. The reversal of 557164000 is 461755.

It is a self number, because there is not a number n which added to its sum of digits gives 557164000.

It is a congruent number.

It is an unprimeable number.

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, 65646 + ... + 73645.

It is an arithmetic number, because the mean of its divisors is an integer number (28520037).

Almost surely, 2^557164000 is an apocalyptic number.

557164000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557164000 is an abundant number, since it is smaller than the sum of its proper divisors (811797776).

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

557164000 is a wasteful number, since it uses less digits than its factorization.

557164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139316 (or 139298 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 557164000 is about 23604.3216382085. The cubic root of 557164000 is about 822.8632800560.

The spelling of 557164000 in words is "five hundred fifty-seven million, one hundred sixty-four thousand".