557436672 has 216 divisors, whose sum is σ = 1781174304. Its totient is φ = 166551552.

The previous prime is 557436623. The next prime is 557436673. The reversal of 557436672 is 276634755.

557436672 is a `hidden beast` number, since 5 + 574 + 3 + 6 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557436673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107973 + ... + 1108475.

Almost surely, 2^557436672 is an apocalyptic number.

557436672 is a gapful number since it is divisible by the number (52) 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 557436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890587152).

557436672 is an abundant number, since it is smaller than the sum of its proper divisors (1223737632).

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

557436672 is a wasteful number, since it uses less digits than its factorization.

557436672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 558 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 557436672 is about 23610.0968231814. The cubic root of 557436672 is about 822.9974925944.

The spelling of 557436672 in words is "five hundred fifty-seven million, four hundred thirty-six thousand, six hundred seventy-two".