249412284 has 72 divisors (see below), whose sum is σ = 713276928. Its totient is φ = 75576240.

The previous prime is 249412283. The next prime is 249412291. The reversal of 249412284 is 482214942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249412283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972 + ... + 22355.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2^249412284 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 249412284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

249412284 is an abundant number, since it is smaller than the sum of its proper divisors (463864644).

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

249412284 is a wasteful number, since it uses less digits than its factorization.

249412284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23357 (or 23343 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 249412284 is about 15792.7921533844. The cubic root of 249412284 is about 629.4664870998.

It can be divided in two parts, 24941 and 2284, that added together give a square (27225 = 165²).

The spelling of 249412284 in words is "two hundred forty-nine million, four hundred twelve thousand, two hundred eighty-four".