249390144 has 56 divisors (see below), whose sum is σ = 733165920. Its totient is φ = 83129472.

The previous prime is 249390137. The next prime is 249390157. The reversal of 249390144 is 441093942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 249390099 and 249390108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70434 + ... + 73889.

Almost surely, 2^249390144 is an apocalyptic number.

249390144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249390144 is an abundant number, since it is smaller than the sum of its proper divisors (483775776).

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

249390144 is a wasteful number, since it uses less digits than its factorization.

249390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144344 (or 144328 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 249390144 is about 15792.0911851471. The cubic root of 249390144 is about 629.4478609117.

The spelling of 249390144 in words is "two hundred forty-nine million, three hundred ninety thousand, one hundred forty-four".