557085312 has 288 divisors, whose sum is σ = 1904666400. Its totient is φ = 155796480.

The previous prime is 557085289. The next prime is 557085341. The reversal of 557085312 is 213580755.

557085312 is a `hidden beast` number, since 5 + 570 + 85 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×557085312² = 620688089692274688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4007739 + ... + 4007877.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2^557085312 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 557085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952333200).

557085312 is an abundant number, since it is smaller than the sum of its proper divisors (1347581088).

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

557085312 is a wasteful number, since it uses less digits than its factorization.

557085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 557085312 is about 23602.6547659368. The cubic root of 557085312 is about 822.8245407057.

The spelling of 557085312 in words is "five hundred fifty-seven million, eighty-five thousand, three hundred twelve".