249965872 has 50 divisors (see below), whose sum is σ = 525625708. Its totient is φ = 115157952.

The previous prime is 249965867. The next prime is 249965873. The reversal of 249965872 is 278569942.

249965872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (249965873) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 456703 + ... + 457249.

Almost surely, 2^249965872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249965872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262812854).

249965872 is an abundant number, since it is smaller than the sum of its proper divisors (275659836).

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

249965872 is an frugal number, since it uses more digits than its factorization.

249965872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 562 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 249965872 is about 15810.3090418878. The cubic root of 249965872 is about 629.9318579192.

The spelling of 249965872 in words is "two hundred forty-nine million, nine hundred sixty-five thousand, eight hundred seventy-two".