258161600 has 84 divisors (see below), whose sum is σ = 648943584. Its totient is φ = 101038080.

The previous prime is 258161599. The next prime is 258161633. The reversal of 258161600 is 6161852.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73484 + ... + 76916.

Almost surely, 2^258161600 is an apocalyptic number.

258161600 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 258161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324471792).

258161600 is an abundant number, since it is smaller than the sum of its proper divisors (390781984).

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

258161600 is a wasteful number, since it uses less digits than its factorization.

258161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 258161600 is about 16067.4080050268. The cubic root of 258161600 is about 636.7425631891.

The spelling of 258161600 in words is "two hundred fifty-eight million, one hundred sixty-one thousand, six hundred".