58425600 has 216 divisors, whose sum is σ = 205299360. Its totient is φ = 14581760.

The previous prime is 58425599. The next prime is 58425613. The reversal of 58425600 is 652485.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326311 + ... + 326489.

It is an arithmetic number, because the mean of its divisors is an integer number (950460).

Almost surely, 2^58425600 is an apocalyptic number.

58425600 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 58425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102649680).

58425600 is an abundant number, since it is smaller than the sum of its proper divisors (146873760).

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

58425600 is a wasteful number, since it uses less digits than its factorization.

58425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 58425600 is about 7643.6640428527. The cubic root of 58425600 is about 388.0321651161.

The spelling of 58425600 in words is "fifty-eight million, four hundred twenty-five thousand, six hundred".