58480800 has 216 divisors, whose sum is σ = 221298336. Its totient is φ = 13140480.

The previous prime is 58480781. The next prime is 58480847. The reversal of 58480800 is 808485.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 991171 + ... + 991229.

Almost surely, 2^58480800 is an apocalyptic number.

58480800 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 58480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110649168).

58480800 is an abundant number, since it is smaller than the sum of its proper divisors (162817536).

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

58480800 is a wasteful number, since it uses less digits than its factorization.

58480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 58480800 is about 7647.2740241213. The cubic root of 58480800 is about 388.1543297918.

The spelling of 58480800 in words is "fifty-eight million, four hundred eighty thousand, eight hundred".