557956480 has 64 divisors (see below), whose sum is σ = 1339202880. Its totient is φ = 222289920.

The previous prime is 557956463. The next prime is 557956499. The reversal of 557956480 is 84659755.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×557956480² = 622630867147980800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171832 + ... + 175048.

It is an arithmetic number, because the mean of its divisors is an integer number (20925045).

Almost surely, 2^557956480 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 557956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669601440).

557956480 is an abundant number, since it is smaller than the sum of its proper divisors (781246400).

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

557956480 is a wasteful number, since it uses less digits than its factorization.

557956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

The square root of 557956480 is about 23621.1024298190. The cubic root of 557956480 is about 823.2532273392.

The spelling of 557956480 in words is "five hundred fifty-seven million, nine hundred fifty-six thousand, four hundred eighty".