258124416 has 128 divisors (see below), whose sum is σ = 762747840. Its totient is φ = 76677120.

The previous prime is 258124409. The next prime is 258124417. The reversal of 258124416 is 614421852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (258124417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223296 + ... + 224448.

Almost surely, 2^258124416 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 258124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381373920).

258124416 is an abundant number, since it is smaller than the sum of its proper divisors (504623424).

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

258124416 is a wasteful number, since it uses less digits than its factorization.

258124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 258124416 is about 16066.2508383257. The cubic root of 258124416 is about 636.7119909011.

The spelling of 258124416 in words is "two hundred fifty-eight million, one hundred twenty-four thousand, four hundred sixteen".