558382032 has 160 divisors (see below), whose sum is σ = 1817244800. Its totient is φ = 162736128.

The previous prime is 558382031. The next prime is 558382049. The reversal of 558382032 is 230283855.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558382031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104088 + ... + 109320.

It is an arithmetic number, because the mean of its divisors is an integer number (11357780).

Almost surely, 2^558382032 is an apocalyptic number.

558382032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908622400).

558382032 is an abundant number, since it is smaller than the sum of its proper divisors (1258862768).

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

558382032 is a wasteful number, since it uses less digits than its factorization.

558382032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 558382032 is about 23630.1085905249. The cubic root of 558382032 is about 823.4624718715.

The spelling of 558382032 in words is "five hundred fifty-eight million, three hundred eighty-two thousand, thirty-two".