249167440 has 20 divisors (see below), whose sum is σ = 579314484. Its totient is φ = 99666944.

The previous prime is 249167423. The next prime is 249167447. The reversal of 249167440 is 44761942.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 198359056 = 7128^2 + 14084^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×249167440³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 249167440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249167447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1557217 + ... + 1557376.

Almost surely, 2^249167440 is an apocalyptic number.

249167440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249167440 is an abundant number, since it is smaller than the sum of its proper divisors (330147044).

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

249167440 is a wasteful number, since it uses less digits than its factorization.

249167440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114606 (or 3114600 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 249167440 is about 15785.0384858574. The cubic root of 249167440 is about 629.2604406422.

The spelling of 249167440 in words is "two hundred forty-nine million, one hundred sixty-seven thousand, four hundred forty".