258083460 has 288 divisors, whose sum is σ = 915183360. Its totient is φ = 58392576.

The previous prime is 258083429. The next prime is 258083489. The reversal of 258083460 is 64380852.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337124 + ... + 1337316.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 2^258083460 is an apocalyptic number.

258083460 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 258083460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457591680).

258083460 is an abundant number, since it is smaller than the sum of its proper divisors (657099900).

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

258083460 is a wasteful number, since it uses less digits than its factorization.

258083460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258083460 is about 16064.9761904585. The cubic root of 258083460 is about 636.6783139170.

The spelling of 258083460 in words is "two hundred fifty-eight million, eighty-three thousand, four hundred sixty".