249295344 has 160 divisors (see below), whose sum is σ = 732810240. Its totient is φ = 72585216.

The previous prime is 249295331. The next prime is 249295373. The reversal of 249295344 is 443592942.

It is a junction number, because it is equal to n+sod(n) for n = 249295296 and 249295305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694237 + ... + 694595.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2^249295344 is an apocalyptic number.

249295344 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 249295344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366405120).

249295344 is an abundant number, since it is smaller than the sum of its proper divisors (483514896).

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

249295344 is a wasteful number, since it uses less digits than its factorization.

249295344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 249295344 is about 15789.0893974288. The cubic root of 249295344 is about 629.3680940334.

The spelling of 249295344 in words is "two hundred forty-nine million, two hundred ninety-five thousand, three hundred forty-four".