249393264 has 80 divisors (see below), whose sum is σ = 704240640. Its totient is φ = 75709440.

The previous prime is 249393257. The next prime is 249393299. The reversal of 249393264 is 462393942.

It is a congruent number.

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, 20367 + ... + 30225.

It is an arithmetic number, because the mean of its divisors is an integer number (8803008).

Almost surely, 2^249393264 is an apocalyptic number.

249393264 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 249393264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352120320).

249393264 is an abundant number, since it is smaller than the sum of its proper divisors (454847376).

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

249393264 is a wasteful number, since it uses less digits than its factorization.

249393264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9912 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 249393264 is about 15792.1899684623. The cubic root of 249393264 is about 629.4504858071.

It can be divided in two parts, 24939 and 3264, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 249393264 in words is "two hundred forty-nine million, three hundred ninety-three thousand, two hundred sixty-four".