249392052 has 144 divisors (see below), whose sum is σ = 781522560. Its totient is φ = 65297664.

The previous prime is 249392047. The next prime is 249392063. The reversal of 249392052 is 250293942.

249392052 is digitally balanced in base 3, because in such base 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 249391998 and 249392016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881103 + ... + 881385.

It is an arithmetic number, because the mean of its divisors is an integer number (5427240).

Almost surely, 2^249392052 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 249392052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390761280).

249392052 is an abundant number, since it is smaller than the sum of its proper divisors (532130508).

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

249392052 is a wasteful number, since it uses less digits than its factorization.

249392052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 249392052 is about 15792.1515950171. The cubic root of 249392052 is about 629.4494661388.

The spelling of 249392052 in words is "two hundred forty-nine million, three hundred ninety-two thousand, fifty-two".