258431680 has 224 divisors, whose sum is σ = 719961984. Its totient is φ = 87588864.

The previous prime is 258431669. The next prime is 258431687. The reversal of 258431680 is 86134852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (258431687) 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, 3540124 + ... + 3540196.

It is an arithmetic number, because the mean of its divisors is an integer number (3214116).

Almost surely, 2^258431680 is an apocalyptic number.

258431680 is a gapful number since it is divisible by the number (20) 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 258431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359980992).

258431680 is an abundant number, since it is smaller than the sum of its proper divisors (461530304).

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

258431680 is a wasteful number, since it uses less digits than its factorization.

258431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 258431680 is about 16075.8103994791. The cubic root of 258431680 is about 636.9645320335.

The spelling of 258431680 in words is "two hundred fifty-eight million, four hundred thirty-one thousand, six hundred eighty".