258010320 has 160 divisors (see below), whose sum is σ = 854802432. Its totient is φ = 64221696.

The previous prime is 258010289. The next prime is 258010321. The reversal of 258010320 is 23010852.

258010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×258010320⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258010321) 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, 236817 + ... + 237903.

Almost surely, 2^258010320 is an apocalyptic number.

258010320 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 258010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427401216).

258010320 is an abundant number, since it is smaller than the sum of its proper divisors (596792112).

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

258010320 is a wasteful number, since it uses less digits than its factorization.

258010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 258010320 is about 16062.6996485647. The cubic root of 258010320 is about 636.6181640575.

It can be divided in two parts, 2580 and 10320, that multiplied together give a square (26625600 = 5160²).

The spelling of 258010320 in words is "two hundred fifty-eight million, ten thousand, three hundred twenty".