249753972 has 48 divisors (see below), whose sum is σ = 635181120. Its totient is φ = 75917568.

The previous prime is 249753961. The next prime is 249754007. The reversal of 249753972 is 279357942.

It is a congruent number.

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, 3304 + ... + 22592.

It is an arithmetic number, because the mean of its divisors is an integer number (13232940).

Almost surely, 2^249753972 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 249753972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317590560).

249753972 is an abundant number, since it is smaller than the sum of its proper divisors (385427148).

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

249753972 is a wasteful number, since it uses less digits than its factorization.

249753972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392 (or 19390 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 249753972 is about 15803.6062972981. The cubic root of 249753972 is about 629.7538065505.

The spelling of 249753972 in words is "two hundred forty-nine million, seven hundred fifty-three thousand, nine hundred seventy-two".