249613344 has 36 divisors (see below), whose sum is σ = 709838766. Its totient is φ = 83204352.

The previous prime is 249613339. The next prime is 249613349. The reversal of 249613344 is 443316942.

It is a happy number.

249613344 is a `hidden beast` number, since 2 + 4 + 9 + 613 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (249613339) and next prime (249613349).

It can be written as a sum of positive squares in only one way, i.e., 173923344 + 75690000 = 13188^2 + 8700^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 249613299 and 249613308.

It is not an unprimeable number, because it can be changed into a prime (249613349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 433069 + ... + 433644.

Almost surely, 2^249613344 is an apocalyptic number.

249613344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249613344 is an abundant number, since it is smaller than the sum of its proper divisors (460225422).

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

249613344 is a wasteful number, since it uses less digits than its factorization.

249613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866729 (or 866718 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 249613344 is about 15799.1564331771. The cubic root of 249613344 is about 629.6355866817.

The spelling of 249613344 in words is "two hundred forty-nine million, six hundred thirteen thousand, three hundred forty-four".