258460400 has 60 divisors (see below), whose sum is σ = 677412744. Its totient is φ = 93984000.

The previous prime is 258460399. The next prime is 258460409. The reversal of 258460400 is 4064852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258460409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24971 + ... + 33770.

Almost surely, 2^258460400 is an apocalyptic number.

258460400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258460400 is an abundant number, since it is smaller than the sum of its proper divisors (418952344).

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

258460400 is a wasteful number, since it uses less digits than its factorization.

258460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58770 (or 58759 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 258460400 is about 16076.7036422272. The cubic root of 258460400 is about 636.9881268494.

The spelling of 258460400 in words is "two hundred fifty-eight million, four hundred sixty thousand, four hundred".