557132940 has 432 divisors, whose sum is σ = 2185511328. Its totient is φ = 113799168.

The previous prime is 557132923. The next prime is 557132941. The reversal of 557132940 is 49231755.

557132940 is a `hidden beast` number, since 557 + 13 + 2 + 94 + 0 = 666.

It is a super-2 number, since 2×557132940² = 620794225666087200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 557132895 and 557132904.

It is not an unprimeable number, because it can be changed into a prime (557132941) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4930324 + ... + 4930436.

It is an arithmetic number, because the mean of its divisors is an integer number (5059054).

Almost surely, 2^557132940 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 557132940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092755664).

557132940 is an abundant number, since it is smaller than the sum of its proper divisors (1628378388).

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

557132940 is a wasteful number, since it uses less digits than its factorization.

557132940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 557132940 is about 23603.6636986719. The cubic root of 557132940 is about 822.8479891612.

It can be divided in two parts, 55713 and 2940, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 557132940 in words is "five hundred fifty-seven million, one hundred thirty-two thousand, nine hundred forty".