258199440 has 80 divisors (see below), whose sum is σ = 802032000. Its totient is φ = 68714496.

The previous prime is 258199439. The next prime is 258199507. The reversal of 258199440 is 44991852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 258199392 and 258199401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183861 + ... + 185259.

It is an arithmetic number, because the mean of its divisors is an integer number (10025400).

Almost surely, 2^258199440 is an apocalyptic number.

258199440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258199440 is an abundant number, since it is smaller than the sum of its proper divisors (543832560).

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

258199440 is a wasteful number, since it uses less digits than its factorization.

258199440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 258199440 is about 16068.5855009083. The cubic root of 258199440 is about 636.7736718196.

The spelling of 258199440 in words is "two hundred fifty-eight million, one hundred ninety-nine thousand, four hundred forty".