258441480 has 288 divisors, whose sum is σ = 980343000. Its totient is φ = 58798080.

The previous prime is 258441479. The next prime is 258441511. The reversal of 258441480 is 84144852.

It can be written as a sum of positive squares in 4 ways, for example, as 248819076 + 9622404 = 15774^2 + 3102^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740346 + ... + 740694.

Almost surely, 2^258441480 is an apocalyptic number.

258441480 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 258441480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490171500).

258441480 is an abundant number, since it is smaller than the sum of its proper divisors (721901520).

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

258441480 is a wasteful number, since it uses less digits than its factorization.

258441480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 258441480 is about 16076.1152023740. The cubic root of 258441480 is about 636.9725833858.

The spelling of 258441480 in words is "two hundred fifty-eight million, four hundred forty-one thousand, four hundred eighty".