249089472 has 112 divisors (see below), whose sum is σ = 748101120. Its totient is φ = 81236736.

The previous prime is 249089459. The next prime is 249089507. The reversal of 249089472 is 274980942.

249089472 is a `hidden beast` number, since 2 + 490 + 8 + 94 + 72 = 666.

249089472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249089472² = 124091130122477568, which contains 22 as substring.

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, 79683 + ... + 82749.

Almost surely, 2^249089472 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 249089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374050560).

249089472 is an abundant number, since it is smaller than the sum of its proper divisors (499011648).

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

249089472 is a wasteful number, since it uses less digits than its factorization.

249089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 249089472 is about 15782.5686122380. The cubic root of 249089472 is about 629.1947989779.

The spelling of 249089472 in words is "two hundred forty-nine million, eighty-nine thousand, four hundred seventy-two".