58023400 has 48 divisors (see below), whose sum is σ = 138568140. Its totient is φ = 22579200.

The previous prime is 58023347. The next prime is 58023439. The reversal of 58023400 is 432085.

It can be written as a sum of positive squares in 6 ways, for example, as 29571844 + 28451556 = 5438^2 + 5334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3480 + ... + 11320.

Almost surely, 2^58023400 is an apocalyptic number.

58023400 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 58023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69284070).

58023400 is an abundant number, since it is smaller than the sum of its proper divisors (80544740).

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

58023400 is a wasteful number, since it uses less digits than its factorization.

58023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7885 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 58023400 is about 7617.3092362067. The cubic root of 58023400 is about 387.1397136805.

Subtracting from 58023400 its sum of digits (22), we obtain a triangular number (58023378 = T₁₀₇₇₂).

Adding to 58023400 its reverse (432085), we get a palindrome (58455485).

The spelling of 58023400 in words is "fifty-eight million, twenty-three thousand, four hundred".