557574840 has 320 divisors, whose sum is σ = 2032335360. Its totient is φ = 136581120.

The previous prime is 557574821. The next prime is 557574841. The reversal of 557574840 is 48475755.

557574840 is a `hidden beast` number, since 5 + 575 + 74 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557574841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2919145 + ... + 2919335.

It is an arithmetic number, because the mean of its divisors is an integer number (6351048).

Almost surely, 2^557574840 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 557574840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016167680).

557574840 is an abundant number, since it is smaller than the sum of its proper divisors (1474760520).

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

557574840 is a wasteful number, since it uses less digits than its factorization.

557574840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 557574840 is about 23613.0226781749. The cubic root of 557574840 is about 823.0654838896.

The spelling of 557574840 in words is "five hundred fifty-seven million, five hundred seventy-four thousand, eight hundred forty".