249752720 has 80 divisors (see below), whose sum is σ = 698586240. Its totient is φ = 81119232.

The previous prime is 249752707. The next prime is 249752731. The reversal of 249752720 is 27257942.

249752720 is digitally balanced in base 2, 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 (80).

It is a super-2 number, since 2×249752720² = 124752842294796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097 + ... + 22376.

It is an arithmetic number, because the mean of its divisors is an integer number (8732328).

Almost surely, 2^249752720 is an apocalyptic number.

249752720 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 249752720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349293120).

249752720 is an abundant number, since it is smaller than the sum of its proper divisors (448833520).

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

249752720 is a wasteful number, since it uses less digits than its factorization.

249752720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23512 (or 23506 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 249752720 is about 15803.5666860364. The cubic root of 249752720 is about 629.7527542442.

The spelling of 249752720 in words is "two hundred forty-nine million, seven hundred fifty-two thousand, seven hundred twenty".