249011952 has 80 divisors (see below), whose sum is σ = 744119040. Its totient is φ = 70281216.

The previous prime is 249011909. The next prime is 249011957. The reversal of 249011952 is 259110942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249011957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23424 + ... + 32352.

It is an arithmetic number, because the mean of its divisors is an integer number (9301488).

Almost surely, 2^249011952 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 249011952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372059520).

249011952 is an abundant number, since it is smaller than the sum of its proper divisors (495107088).

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

249011952 is a wasteful number, since it uses less digits than its factorization.

249011952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 249011952 is about 15780.1125471272. The cubic root of 249011952 is about 629.1295209059.

The spelling of 249011952 in words is "two hundred forty-nine million, eleven thousand, nine hundred fifty-two".