258849440 has 24 divisors (see below), whose sum is σ = 611532180. Its totient is φ = 103539712.

The previous prime is 258849433. The next prime is 258849443. The reversal of 258849440 is 44948852.

It can be written as a sum of positive squares in 2 ways, for example, as 241243024 + 17606416 = 15532^2 + 4196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 258849391 and 258849400.

It is not an unprimeable number, because it can be changed into a prime (258849443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 808745 + ... + 809064.

Almost surely, 2^258849440 is an apocalyptic number.

258849440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258849440 is an abundant number, since it is smaller than the sum of its proper divisors (352682740).

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

258849440 is a wasteful number, since it uses less digits than its factorization.

258849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617824 (or 1617816 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 258849440 is about 16088.7985878374. The cubic root of 258849440 is about 637.3075692430.

The spelling of 258849440 in words is "two hundred fifty-eight million, eight hundred forty-nine thousand, four hundred forty".