557983104 has 256 divisors, whose sum is σ = 1784885760. Its totient is φ = 151142400.

The previous prime is 557983073. The next prime is 557983109. The reversal of 557983104 is 401389755.

It is a super-2 number, since 2×557983104² = 622690288698949632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557983109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6722647 + ... + 6722729.

It is an arithmetic number, because the mean of its divisors is an integer number (6972210).

Almost surely, 2^557983104 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 557983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892442880).

557983104 is an abundant number, since it is smaller than the sum of its proper divisors (1226902656).

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

557983104 is a wasteful number, since it uses less digits than its factorization.

557983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 557983104 is about 23621.6659869705. The cubic root of 557983104 is about 823.2663215178.

The spelling of 557983104 in words is "five hundred fifty-seven million, nine hundred eighty-three thousand, one hundred four".