557961480 has 128 divisors (see below), whose sum is σ = 1910275200. Its totient is φ = 144758016.

The previous prime is 557961473. The next prime is 557961491. The reversal of 557961480 is 84169755.

557961480 is a `hidden beast` number, since 557 + 9 + 6 + 14 + 80 = 666.

It is a super-2 number, since 2×557961480² = 622642026327580800, which contains 22 as substring.

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

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, 32979 + ... + 46941.

It is an arithmetic number, because the mean of its divisors is an integer number (14924025).

Almost surely, 2^557961480 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 557961480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955137600).

557961480 is an abundant number, since it is smaller than the sum of its proper divisors (1352313720).

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

557961480 is a wasteful number, since it uses less digits than its factorization.

557961480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14020 (or 14010 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 557961480 is about 23621.2082671484. The cubic root of 557961480 is about 823.2556864640.

The spelling of 557961480 in words is "five hundred fifty-seven million, nine hundred sixty-one thousand, four hundred eighty".