258840816 has 40 divisors (see below), whose sum is σ = 720110160. Its totient is φ = 79643136.

The previous prime is 258840809. The next prime is 258840823. The reversal of 258840816 is 618048852.

It is an interprime number because it is at equal distance from previous prime (258840809) and next prime (258840823).

It is a super-3 number, since 3×258840816³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206781 + ... + 208028.

It is an arithmetic number, because the mean of its divisors is an integer number (18002754).

Almost surely, 2^258840816 is an apocalyptic number.

258840816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

258840816 is an abundant number, since it is smaller than the sum of its proper divisors (461269344).

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

258840816 is a wasteful number, since it uses less digits than its factorization.

258840816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414833 (or 414827 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 258840816 is about 16088.5305730511. The cubic root of 258840816 is about 637.3004915102.

The spelling of 258840816 in words is "two hundred fifty-eight million, eight hundred forty thousand, eight hundred sixteen".