249561144 has 48 divisors (see below), whose sum is σ = 772452720. Its totient is φ = 71303040.

The previous prime is 249561133. The next prime is 249561149. The reversal of 249561144 is 441165942.

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

It is a junction number, because it is equal to n+sod(n) for n = 249561099 and 249561108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249561149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247077 + ... + 248084.

It is an arithmetic number, because the mean of its divisors is an integer number (16092765).

Almost surely, 2^249561144 is an apocalyptic number.

249561144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249561144 is an abundant number, since it is smaller than the sum of its proper divisors (522891576).

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

249561144 is a wasteful number, since it uses less digits than its factorization.

249561144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495180 (or 495173 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 249561144 is about 15797.5043598665. The cubic root of 249561144 is about 629.5916931029.

The spelling of 249561144 in words is "two hundred forty-nine million, five hundred sixty-one thousand, one hundred forty-four".