258081408 has 192 divisors, whose sum is σ = 842805600. Its totient is φ = 75147264.

The previous prime is 258081407. The next prime is 258081409. The reversal of 258081408 is 804180852.

It is an interprime number because it is at equal distance from previous prime (258081407) and next prime (258081409).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (258081407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284091 + ... + 284997.

Almost surely, 2^258081408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421402800).

258081408 is an abundant number, since it is smaller than the sum of its proper divisors (584724192).

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

258081408 is a wasteful number, since it uses less digits than its factorization.

258081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 258081408 is about 16064.9123246907. The cubic root of 258081408 is about 636.6766265205.

The spelling of 258081408 in words is "two hundred fifty-eight million, eighty-one thousand, four hundred eight".