249365120 has 64 divisors (see below), whose sum is σ = 627544800. Its totient is φ = 94491648.

The previous prime is 249365119. The next prime is 249365173. The reversal of 249365120 is 21563942.

It is a happy number.

249365120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×249365120² = 124365926145228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1907 + ... + 22413.

Almost surely, 2^249365120 is an apocalyptic number.

249365120 is a gapful number since it is divisible by the number (20) 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 249365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313772400).

249365120 is an abundant number, since it is smaller than the sum of its proper divisors (378179680).

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

249365120 is a wasteful number, since it uses less digits than its factorization.

249365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20545 (or 20533 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 249365120 is about 15791.2988699473. The cubic root of 249365120 is about 629.4268071123.

The spelling of 249365120 in words is "two hundred forty-nine million, three hundred sixty-five thousand, one hundred twenty".