258913420 has 48 divisors (see below), whose sum is σ = 560387520. Its totient is φ = 100410624.

The previous prime is 258913411. The next prime is 258913429. The reversal of 258913420 is 24319852.

It is an interprime number because it is at equal distance from previous prime (258913411) and next prime (258913429).

It is not an unprimeable number, because it can be changed into a prime (258913429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324462 + ... + 325258.

It is an arithmetic number, because the mean of its divisors is an integer number (11674740).

Almost surely, 2^258913420 is an apocalyptic number.

258913420 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 258913420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280193760).

258913420 is an abundant number, since it is smaller than the sum of its proper divisors (301474100).

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

258913420 is a wasteful number, since it uses less digits than its factorization.

258913420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 258913420 is about 16090.7868048769. The cubic root of 258913420 is about 637.3600728390.

The spelling of 258913420 in words is "two hundred fifty-eight million, nine hundred thirteen thousand, four hundred twenty".