258284880 has 180 divisors, whose sum is σ = 1009161972. Its totient is φ = 59028480.

The previous prime is 258284863. The next prime is 258284899. The reversal of 258284880 is 88482852.

258284880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 231161616 = 5208^2 + 15204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×258284880² = 133422158473228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31620 + ... + 38940.

Almost surely, 2^258284880 is an apocalyptic number.

258284880 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 258284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504580986).

258284880 is an abundant number, since it is smaller than the sum of its proper divisors (750877092).

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

258284880 is a wasteful number, since it uses less digits than its factorization.

258284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7354 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 258284880 is about 16071.2438846531. The cubic root of 258284880 is about 636.8439016937.

The spelling of 258284880 in words is "two hundred fifty-eight million, two hundred eighty-four thousand, eight hundred eighty".