258747216 has 160 divisors (see below), whose sum is σ = 845445888. Its totient is φ = 66355200.

The previous prime is 258747169. The next prime is 258747221. The reversal of 258747216 is 612747852.

258747216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160816 + ... + 162416.

Almost surely, 2^258747216 is an apocalyptic number.

258747216 is a gapful number since it is divisible by the number (26) 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 258747216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422722944).

258747216 is an abundant number, since it is smaller than the sum of its proper divisors (586698672).

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

258747216 is a wasteful number, since it uses less digits than its factorization.

258747216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1663 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 258747216 is about 16085.6214054664. The cubic root of 258747216 is about 637.2236637021.

The spelling of 258747216 in words is "two hundred fifty-eight million, seven hundred forty-seven thousand, two hundred sixteen".