258454080 has 168 divisors, whose sum is σ = 910084032. Its totient is φ = 67286016.

The previous prime is 258454069. The next prime is 258454087. The reversal of 258454080 is 80454852.

258454080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258454080² = 133597022937292800, which contains 22 as substring.

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 (258454087) 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, 122797 + ... + 124883.

Almost surely, 2^258454080 is an apocalyptic number.

258454080 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 258454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455042016).

258454080 is an abundant number, since it is smaller than the sum of its proper divisors (651629952).

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

258454080 is a wasteful number, since it uses less digits than its factorization.

258454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 258454080 is about 16076.5070833188. The cubic root of 258454080 is about 636.9829348254.

The spelling of 258454080 in words is "two hundred fifty-eight million, four hundred fifty-four thousand, eighty".