557435340 has 288 divisors, whose sum is σ = 2167087104. Its totient is φ = 112596480.

The previous prime is 557435339. The next prime is 557435353. The reversal of 557435340 is 43534755.

557435340 is a `hidden beast` number, since 55 + 74 + 3 + 534 + 0 = 666.

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 = 557435295 and 557435304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512277 + ... + 513363.

It is an arithmetic number, because the mean of its divisors is an integer number (7524608).

Almost surely, 2^557435340 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 557435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083543552).

557435340 is an abundant number, since it is smaller than the sum of its proper divisors (1609651764).

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

557435340 is a wasteful number, since it uses less digits than its factorization.

557435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 557435340 is about 23610.0686148939. The cubic root of 557435340 is about 822.9968370739.

The spelling of 557435340 in words is "five hundred fifty-seven million, four hundred thirty-five thousand, three hundred forty".