58346400 has 288 divisors, whose sum is σ = 227985408. Its totient is φ = 12672000.

The previous prime is 58346383. The next prime is 58346401. The reversal of 58346400 is 464385.

58346400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (58346401) 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 47 ways as a sum of consecutive naturals, for example, 386325 + ... + 386475.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^58346400 is an apocalyptic number.

58346400 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 58346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704).

58346400 is an abundant number, since it is smaller than the sum of its proper divisors (169639008).

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

58346400 is a wasteful number, since it uses less digits than its factorization.

58346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 58346400 is about 7638.4815244916. The cubic root of 58346400 is about 387.8567508886.

The spelling of 58346400 in words is "fifty-eight million, three hundred forty-six thousand, four hundred".