249765120 has 432 divisors, whose sum is σ = 991029312. Its totient is φ = 59719680.

The previous prime is 249765101. The next prime is 249765121. The reversal of 249765120 is 21567942.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×249765120² = 124765230337228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249765121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421404 + ... + 3421476.

Almost surely, 2^249765120 is an apocalyptic number.

249765120 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 249765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495514656).

249765120 is an abundant number, since it is smaller than the sum of its proper divisors (741264192).

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

249765120 is an equidigital number, since it uses as much as digits as its factorization.

249765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 249765120 is about 15803.9589976689. The cubic root of 249765120 is about 629.7631762927.

The spelling of 249765120 in words is "two hundred forty-nine million, seven hundred sixty-five thousand, one hundred twenty".