557025984 has 98 divisors (see below), whose sum is σ = 1657403340. Its totient is φ = 185659776.

The previous prime is 557025979. The next prime is 557026013. The reversal of 557025984 is 489520755.

557025984 is a `hidden beast` number, since 5 + 57 + 0 + 2 + 598 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 40687 + ... + 52625.

Almost surely, 2^557025984 is an apocalyptic number.

557025984 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 557025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828701670).

557025984 is an abundant number, since it is smaller than the sum of its proper divisors (1100377356).

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

557025984 is an equidigital number, since it uses as much as digits as its factorization.

557025984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11969 (or 11944 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 557025984 is about 23601.3979246993. The cubic root of 557025984 is about 822.7953301782.

It can be divided in two parts, 557025 and 984, that added together give a square (558009 = 747²).

The spelling of 557025984 in words is "five hundred fifty-seven million, twenty-five thousand, nine hundred eighty-four".