58013400 has 96 divisors (see below), whose sum is σ = 185702400. Its totient is φ = 14966400.

The previous prime is 58013399. The next prime is 58013443. The reversal of 58013400 is 431085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17041 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 2^58013400 is an apocalyptic number.

58013400 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 58013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851200).

58013400 is an abundant number, since it is smaller than the sum of its proper divisors (127689000).

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

58013400 is a wasteful number, since it uses less digits than its factorization.

58013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 58013400 is about 7616.6528081566. The cubic root of 58013400 is about 387.1174719668.

Adding to 58013400 its reverse (431085), we get a palindrome (58444485).

The spelling of 58013400 in words is "fifty-eight million, thirteen thousand, four hundred".