258464808 has 144 divisors (see below), whose sum is σ = 828334260. Its totient is φ = 72576000.

The previous prime is 258464807. The next prime is 258464831. The reversal of 258464808 is 808464852.

258464808 is a `hidden beast` number, since 2 + 584 + 64 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157703364 + 100761444 = 12558^2 + 10038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258464807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214608 + ... + 215808.

Almost surely, 2^258464808 is an apocalyptic number.

258464808 is a gapful number since it is divisible by the number (28) 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 258464808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414167130).

258464808 is an abundant number, since it is smaller than the sum of its proper divisors (569869452).

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

258464808 is a wasteful number, since it uses less digits than its factorization.

258464808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 258464808 is about 16076.8407344229. The cubic root of 258464808 is about 636.9917480717.

The spelling of 258464808 in words is "two hundred fifty-eight million, four hundred sixty-four thousand, eight hundred eight".