249974844 has 48 divisors (see below), whose sum is σ = 670725888. Its totient is φ = 70979328.

The previous prime is 249974843. The next prime is 249974861. The reversal of 249974844 is 448479942.

249974844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (2322432) is a multiple of the sum of its prime divisors (18432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249974843) 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, 4564 + ... + 22820.

It is an arithmetic number, because the mean of its divisors is an integer number (13973456).

Almost surely, 2^249974844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249974844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335362944).

249974844 is an abundant number, since it is smaller than the sum of its proper divisors (420751044).

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

249974844 is a wasteful number, since it uses less digits than its factorization.

249974844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18434 (or 18432 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 249974844 is about 15810.5927782610. The cubic root of 249974844 is about 629.9393945227.

The spelling of 249974844 in words is "two hundred forty-nine million, nine hundred seventy-four thousand, eight hundred forty-four".