249668328 has 128 divisors (see below), whose sum is σ = 784224000. Its totient is φ = 65818368.

The previous prime is 249668291. The next prime is 249668329. The reversal of 249668328 is 823866942.

249668328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249668329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105850 + ... + 108182.

It is an arithmetic number, because the mean of its divisors is an integer number (6126750).

Almost surely, 2^249668328 is an apocalyptic number.

249668328 is a gapful number since it is divisible by the number (28) 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 249668328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392112000).

249668328 is an abundant number, since it is smaller than the sum of its proper divisors (534555672).

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

249668328 is a wasteful number, since it uses less digits than its factorization.

249668328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2358 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 249668328 is about 15800.8964302662. The cubic root of 249668328 is about 629.6818146342.

The spelling of 249668328 in words is "two hundred forty-nine million, six hundred sixty-eight thousand, three hundred twenty-eight".