258834420 has 96 divisors (see below), whose sum is σ = 867229440. Its totient is φ = 63711360.

The previous prime is 258834409. The next prime is 258834427. The reversal of 258834420 is 24438852.

258834420 is a `hidden beast` number, since 2 + 588 + 34 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258834427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11416 + ... + 25455.

It is an arithmetic number, because the mean of its divisors is an integer number (9033640).

Almost surely, 2^258834420 is an apocalyptic number.

258834420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258834420 is an abundant number, since it is smaller than the sum of its proper divisors (608395020).

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

258834420 is a wasteful number, since it uses less digits than its factorization.

258834420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36902 (or 36894 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 258834420 is about 16088.3317966780. The cubic root of 258834420 is about 637.2952421996.

It can be divided in two parts, 25883 and 4420, that added together give a palindrome (30303).

The spelling of 258834420 in words is "two hundred fifty-eight million, eight hundred thirty-four thousand, four hundred twenty".