258094980 has 288 divisors, whose sum is σ = 948100608. Its totient is φ = 55987200.

The previous prime is 258094973. The next prime is 258094997. The reversal of 258094980 is 89490852.

258094980 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-2 number, since 2×258094980² = 133226037402400800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 952245 + ... + 952515.

It is an arithmetic number, because the mean of its divisors is an integer number (3292016).

Almost surely, 2^258094980 is an apocalyptic number.

258094980 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 258094980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474050304).

258094980 is an abundant number, since it is smaller than the sum of its proper divisors (690005628).

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

258094980 is a wasteful number, since it uses less digits than its factorization.

258094980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 258094980 is about 16065.3347304063. The cubic root of 258094980 is about 636.6877868539.

The spelling of 258094980 in words is "two hundred fifty-eight million, ninety-four thousand, nine hundred eighty".