258961170 has 128 divisors (see below), whose sum is σ = 716325120. Its totient is φ = 59351040.

The previous prime is 258961169. The next prime is 258961181. The reversal of 258961170 is 71169852.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921430 + ... + 921710.

It is an arithmetic number, because the mean of its divisors is an integer number (5596290).

Almost surely, 2^258961170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258961170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358162560).

258961170 is an abundant number, since it is smaller than the sum of its proper divisors (457363950).

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

258961170 is a wasteful number, since it uses less digits than its factorization.

258961170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 258961170 is about 16092.2705048107. The cubic root of 258961170 is about 637.3992520529.

The spelling of 258961170 in words is "two hundred fifty-eight million, nine hundred sixty-one thousand, one hundred seventy".