58560400 has 60 divisors (see below), whose sum is σ = 141463044. Its totient is φ = 23296000.

The previous prime is 58560379. The next prime is 58560407. The reversal of 58560400 is 406585.

It can be written as a sum of positive squares in 6 ways, for example, as 1527696 + 57032704 = 1236^2 + 7552^2 .

It is not an unprimeable number, because it can be changed into a prime (58560407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112140 + ... + 112660.

Almost surely, 2^58560400 is an apocalyptic number.

58560400 is a gapful number since it is divisible by the number (50) 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 58560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70731522).

58560400 is an abundant number, since it is smaller than the sum of its proper divisors (82902644).

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

58560400 is a wasteful number, since it uses less digits than its factorization.

58560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 58560400 is about 7652.4767232576. The cubic root of 58560400 is about 388.3303595139.

Adding to 58560400 its reverse (406585), we get a palindrome (58966985).

The spelling of 58560400 in words is "fifty-eight million, five hundred sixty thousand, four hundred".