557286480 has 240 divisors, whose sum is σ = 1966124160. Its totient is φ = 146686464.

The previous prime is 557286479. The next prime is 557286491. The reversal of 557286480 is 84682755.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 2118829 + ... + 2119091.

It is an arithmetic number, because the mean of its divisors is an integer number (8192184).

Almost surely, 2^557286480 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 557286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983062080).

557286480 is an abundant number, since it is smaller than the sum of its proper divisors (1408837680).

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

557286480 is a wasteful number, since it uses less digits than its factorization.

557286480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 557286480 is about 23606.9159358015. The cubic root of 557286480 is about 822.9235716460.

The spelling of 557286480 in words is "five hundred fifty-seven million, two hundred eighty-six thousand, four hundred eighty".