58082400 has 144 divisors (see below), whose sum is σ = 210142800. Its totient is φ = 15482880.

The previous prime is 58082393. The next prime is 58082413. The reversal of 58082400 is 428085.

58082400 is a `hidden beast` number, since 580 + 82 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×58082400³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20256 + ... + 22944.

It is an arithmetic number, because the mean of its divisors is an integer number (1459325).

Almost surely, 2^58082400 is an apocalyptic number.

58082400 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 58082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105071400).

58082400 is an abundant number, since it is smaller than the sum of its proper divisors (152060400).

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

58082400 is a wasteful number, since it uses less digits than its factorization.

58082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58082400 is about 7621.1810108408. The cubic root of 58082400 is about 387.2708878021.

The spelling of 58082400 in words is "fifty-eight million, eighty-two thousand, four hundred".