258533400 has 96 divisors (see below), whose sum is σ = 809144640. Its totient is φ = 68280960.

The previous prime is 258533377. The next prime is 258533411. The reversal of 258533400 is 4335852.

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 23 ways as a sum of consecutive naturals, for example, 62187 + ... + 66213.

It is an arithmetic number, because the mean of its divisors is an integer number (8428590).

Almost surely, 2^258533400 is an apocalyptic number.

258533400 is a gapful number since it is divisible by the number (20) 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 258533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404572320).

258533400 is an abundant number, since it is smaller than the sum of its proper divisors (550611240).

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

258533400 is a wasteful number, since it uses less digits than its factorization.

258533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 258533400 is about 16078.9738478548. The cubic root of 258533400 is about 637.0480918783.

The spelling of 258533400 in words is "two hundred fifty-eight million, five hundred thirty-three thousand, four hundred".