58094400 has 504 divisors, whose sum is σ = 251338080. Its totient is φ = 11612160.

The previous prime is 58094383. The next prime is 58094429. The reversal of 58094400 is 449085.

58094400 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 2×58094400² = 6749918622720000, which contains 22 as substring.

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, 3057591 + ... + 3057609.

Almost surely, 2^58094400 is an apocalyptic number.

58094400 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 58094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669040).

58094400 is an abundant number, since it is smaller than the sum of its proper divisors (193243680).

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

58094400 is a wasteful number, since it uses less digits than its factorization.

58094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 58094400 is about 7621.9682497371. The cubic root of 58094400 is about 387.2975564123.

The spelling of 58094400 in words is "fifty-eight million, ninety-four thousand, four hundred".