58906400 has 144 divisors (see below), whose sum is σ = 167864256. Its totient is φ = 19768320.

The previous prime is 58906399. The next prime is 58906409. The reversal of 58906400 is 460985.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (58906409) by changing a digit.

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, 375122 + ... + 375278.

It is an arithmetic number, because the mean of its divisors is an integer number (1165724).

Almost surely, 2^58906400 is an apocalyptic number.

58906400 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 58906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83932128).

58906400 is an abundant number, since it is smaller than the sum of its proper divisors (108957856).

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

58906400 is a wasteful number, since it uses less digits than its factorization.

58906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 58906400 is about 7675.0504884333. The cubic root of 58906400 is about 389.0936656969.

The spelling of 58906400 in words is "fifty-eight million, nine hundred six thousand, four hundred".