249392772 has 72 divisors (see below), whose sum is σ = 670348224. Its totient is φ = 78002496.

The previous prime is 249392761. The next prime is 249392777. The reversal of 249392772 is 277293942.

249392772 is a `hidden beast` number, since 2 + 493 + 92 + 7 + 72 = 666.

It is a super-4 number, since 4×249392772⁴ (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (249392777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41043 + ... + 46725.

It is an arithmetic number, because the mean of its divisors is an integer number (9310392).

Almost surely, 2^249392772 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 249392772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335174112).

249392772 is an abundant number, since it is smaller than the sum of its proper divisors (420955452).

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

249392772 is a wasteful number, since it uses less digits than its factorization.

249392772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769 (or 5764 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 249392772 is about 15792.1743911344. The cubic root of 249392772 is about 629.4500718827.

The spelling of 249392772 in words is "two hundred forty-nine million, three hundred ninety-two thousand, seven hundred seventy-two".