258374880 has 96 divisors (see below), whose sum is σ = 904327200. Its totient is φ = 68898816.

The previous prime is 258374869. The next prime is 258374887. The reversal of 258374880 is 88473852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258374887) 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, 25585 + ... + 34224.

It is an arithmetic number, because the mean of its divisors is an integer number (9420075).

Almost surely, 2^258374880 is an apocalyptic number.

258374880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258374880 is an abundant number, since it is smaller than the sum of its proper divisors (645952320).

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

258374880 is a wasteful number, since it uses less digits than its factorization.

258374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59833 (or 59819 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 258374880 is about 16074.0436729530. The cubic root of 258374880 is about 636.9178630436.

The spelling of 258374880 in words is "two hundred fifty-eight million, three hundred seventy-four thousand, eight hundred eighty".