258475104 has 96 divisors (see below), whose sum is σ = 786723840. Its totient is φ = 82406016.

The previous prime is 258475103. The next prime is 258475121. The reversal of 258475104 is 401574852.

258475104 is a `hidden beast` number, since 2 + 584 + 75 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258475103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13369 + ... + 26375.

It is an arithmetic number, because the mean of its divisors is an integer number (8195040).

Almost surely, 2^258475104 is an apocalyptic number.

258475104 is a gapful number since it is divisible by the number (24) 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 258475104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393361920).

258475104 is an abundant number, since it is smaller than the sum of its proper divisors (528248736).

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

258475104 is a wasteful number, since it uses less digits than its factorization.

258475104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049 (or 13035 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 258475104 is about 16077.1609434004. The cubic root of 258475104 is about 637.0002061928. Note that the first 3 decimals are identical.

The spelling of 258475104 in words is "two hundred fifty-eight million, four hundred seventy-five thousand, one hundred four".