58401200 has 120 divisors (see below), whose sum is σ = 164999856. Its totient is φ = 19584000.

The previous prime is 58401197. The next prime is 58401229. The reversal of 58401200 is 210485.

58401200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58401200² = 6821400322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56690 + ... + 57710.

Almost surely, 2^58401200 is an apocalyptic number.

58401200 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 58401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82499928).

58401200 is an abundant number, since it is smaller than the sum of its proper divisors (106598656).

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

58401200 is a wasteful number, since it uses less digits than its factorization.

58401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 58401200 is about 7642.0677830022. The cubic root of 58401200 is about 387.9781402642.

Adding to 58401200 its reverse (210485), we get a palindrome (58611685).

The spelling of 58401200 in words is "fifty-eight million, four hundred one thousand, two hundred".