258354720 has 288 divisors, whose sum is σ = 977728752. Its totient is φ = 61710336.

The previous prime is 258354697. The next prime is 258354721. The reversal of 258354720 is 27453852.

258354720 is a `hidden beast` number, since 2 + 583 + 5 + 4 + 72 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 124813584 + 133541136 = 11172^2 + 11556^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×258354720³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258354721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 692454 + ... + 692826.

Almost surely, 2^258354720 is an apocalyptic number.

258354720 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 258354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488864376).

258354720 is an abundant number, since it is smaller than the sum of its proper divisors (719374032).

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

258354720 is a wasteful number, since it uses less digits than its factorization.

258354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 258354720 is about 16073.4165627598. The cubic root of 258354720 is about 636.9012971942.

The spelling of 258354720 in words is "two hundred fifty-eight million, three hundred fifty-four thousand, seven hundred twenty".