557784480 has 192 divisors, whose sum is σ = 1932336000. Its totient is φ = 134123520.

The previous prime is 557784397. The next prime is 557784497. The reversal of 557784480 is 84487755.

It is a super-2 number, since 2×557784480² = 622247052257740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786366 + ... + 787074.

It is an arithmetic number, because the mean of its divisors is an integer number (10064250).

Almost surely, 2^557784480 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 557784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966168000).

557784480 is an abundant number, since it is smaller than the sum of its proper divisors (1374551520).

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

557784480 is a wasteful number, since it uses less digits than its factorization.

557784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 557784480 is about 23617.4613369007. The cubic root of 557784480 is about 823.1686244996.

The spelling of 557784480 in words is "five hundred fifty-seven million, seven hundred eighty-four thousand, four hundred eighty".