557654040 has 192 divisors, whose sum is σ = 1892367360. Its totient is φ = 142260480.

The previous prime is 557654033. The next prime is 557654059. The reversal of 557654040 is 40456755.

It is a happy number.

557654040 is a `hidden beast` number, since 5 + 5 + 76 + 540 + 40 = 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 = 557653986 and 557654004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193887 + ... + 1194353.

It is an arithmetic number, because the mean of its divisors is an integer number (9856080).

Almost surely, 2^557654040 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 557654040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946183680).

557654040 is an abundant number, since it is smaller than the sum of its proper divisors (1334713320).

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

557654040 is a wasteful number, since it uses less digits than its factorization.

557654040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 557654040 is about 23614.6996593224. The cubic root of 557654040 is about 823.1044524701.

The spelling of 557654040 in words is "five hundred fifty-seven million, six hundred fifty-four thousand, forty".