58480400 has 60 divisors (see below), whose sum is σ = 153283344. Its totient is φ = 21264000.

The previous prime is 58480397. The next prime is 58480403. The reversal of 58480400 is 408485.

58480400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58480397) and next prime (58480403).

It is not an unprimeable number, because it can be changed into a prime (58480403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2246 + ... + 11045.

Almost surely, 2^58480400 is an apocalyptic number.

58480400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58480400 is an abundant number, since it is smaller than the sum of its proper divisors (94802944).

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

58480400 is a wasteful number, since it uses less digits than its factorization.

58480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13320 (or 13309 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 58480400 is about 7647.2478709664. The cubic root of 58480400 is about 388.1534448171.

Adding to 58480400 its reverse (408485), we get a palindrome (58888885).

The spelling of 58480400 in words is "fifty-eight million, four hundred eighty thousand, four hundred".