58260400 has 60 divisors (see below), whose sum is σ = 152706744. Its totient is φ = 21184000.

The previous prime is 58260373. The next prime is 58260407. The reversal of 58260400 is 406285.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (58260407) 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, 2221 + ... + 11020.

Almost surely, 2^58260400 is an apocalyptic number.

58260400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58260400 is an abundant number, since it is smaller than the sum of its proper divisors (94446344).

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

58260400 is a wasteful number, since it uses less digits than its factorization.

58260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13270 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 58260400 is about 7632.8500574818. The cubic root of 58260400 is about 387.6660959823. Note that the first 3 decimals are identical.

Adding to 58260400 its reverse (406285), we get a palindrome (58666685).

The spelling of 58260400 in words is "fifty-eight million, two hundred sixty thousand, four hundred".