258480720 has 200 divisors, whose sum is σ = 908252136. Its totient is φ = 68124672.

The previous prime is 258480701. The next prime is 258480727. The reversal of 258480720 is 27084852.

It is a happy number.

258480720 is a `hidden beast` number, since 2 + 584 + 8 + 0 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 257795136 = 828^2 + 16056^2 .

It is a super-2 number, since 2×258480720² = 133624565223436800, which contains 22 as substring.

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 (258480727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 732064 + ... + 732416.

Almost surely, 2^258480720 is an apocalyptic number.

258480720 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 258480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454126068).

258480720 is an abundant number, since it is smaller than the sum of its proper divisors (649771416).

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

258480720 is a wasteful number, since it uses less digits than its factorization.

258480720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 258480720 is about 16077.3356001546. The cubic root of 258480720 is about 637.0048196187.

The spelling of 258480720 in words is "two hundred fifty-eight million, four hundred eighty thousand, seven hundred twenty".