258798072 has 128 divisors (see below), whose sum is σ = 751161600. Its totient is φ = 73586688.

The previous prime is 258798061. The next prime is 258798073. The reversal of 258798072 is 270897852.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258798073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312523 + ... + 313349.

It is an arithmetic number, because the mean of its divisors is an integer number (5868450).

Almost surely, 2^258798072 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 258798072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375580800).

258798072 is an abundant number, since it is smaller than the sum of its proper divisors (492363528).

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

258798072 is a wasteful number, since it uses less digits than its factorization.

258798072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 258798072 is about 16087.2021184543. The cubic root of 258798072 is about 637.2654091093.

The spelling of 258798072 in words is "two hundred fifty-eight million, seven hundred ninety-eight thousand, seventy-two".