258082416 has 80 divisors (see below), whose sum is σ = 743761920. Its totient is φ = 85682880.

The previous prime is 258082403. The next prime is 258082469. The reversal of 258082416 is 614280852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121201 + ... + 123311.

It is an arithmetic number, because the mean of its divisors is an integer number (9297024).

Almost surely, 2^258082416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258082416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371880960).

258082416 is an abundant number, since it is smaller than the sum of its proper divisors (485679504).

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

258082416 is a wasteful number, since it uses less digits than its factorization.

258082416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 258082416 is about 16064.9436973803. The cubic root of 258082416 is about 636.6774554181.

It can be divided in two parts, 25808 and 2416, that added together give a square (28224 = 168²).

The spelling of 258082416 in words is "two hundred fifty-eight million, eighty-two thousand, four hundred sixteen".