58913400 has 288 divisors, whose sum is σ = 228735360. Its totient is φ = 12280320.

The previous prime is 58913389. The next prime is 58913411. The reversal of 58913400 is 431985.

58913400 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 (58913389) and next prime (58913411).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 709759 + ... + 709841.

It is an arithmetic number, because the mean of its divisors is an integer number (794220).

Almost surely, 2^58913400 is an apocalyptic number.

58913400 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 58913400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114367680).

58913400 is an abundant number, since it is smaller than the sum of its proper divisors (169821960).

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

58913400 is a wasteful number, since it uses less digits than its factorization.

58913400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 58913400 is about 7675.5064979453. The cubic root of 58913400 is about 389.1090774223.

The spelling of 58913400 in words is "fifty-eight million, nine hundred thirteen thousand, four hundred".