558538464 has 96 divisors (see below), whose sum is σ = 1604655360. Its totient is φ = 168704000.

The previous prime is 558538447. The next prime is 558538471. The reversal of 558538464 is 464835855.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422797 + ... + 424115.

It is an arithmetic number, because the mean of its divisors is an integer number (16715160).

Almost surely, 2^558538464 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 558538464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802327680).

558538464 is an abundant number, since it is smaller than the sum of its proper divisors (1046116896).

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

558538464 is a wasteful number, since it uses less digits than its factorization.

558538464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 48.

The square root of 558538464 is about 23633.4183731427. The cubic root of 558538464 is about 823.5393629882.

The spelling of 558538464 in words is "five hundred fifty-eight million, five hundred thirty-eight thousand, four hundred sixty-four".