258462720 has 264 divisors, whose sum is σ = 919676160. Its totient is φ = 67092480.

The previous prime is 258462709. The next prime is 258462731. The reversal of 258462720 is 27264852.

258462720 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 627 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (258462709) and next prime (258462731).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3271641 + ... + 3271719.

Almost surely, 2^258462720 is an apocalyptic number.

258462720 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 258462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459838080).

258462720 is an abundant number, since it is smaller than the sum of its proper divisors (661213440).

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

258462720 is a wasteful number, since it uses less digits than its factorization.

258462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 258462720 is about 16076.7757961601. The cubic root of 258462720 is about 636.9900327610.

The spelling of 258462720 in words is "two hundred fifty-eight million, four hundred sixty-two thousand, seven hundred twenty".