249545472 has 144 divisors (see below), whose sum is σ = 733877760. Its totient is φ = 74649600.

The previous prime is 249545441. The next prime is 249545473. The reversal of 249545472 is 274545942.

It is a happy number.

249545472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249545473) 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, 920697 + ... + 920967.

Almost surely, 2^249545472 is an apocalyptic number.

249545472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366938880).

249545472 is an abundant number, since it is smaller than the sum of its proper divisors (484332288).

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

249545472 is a wasteful number, since it uses less digits than its factorization.

249545472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 249545472 is about 15797.0083243632. The cubic root of 249545472 is about 629.5785137441.

The spelling of 249545472 in words is "two hundred forty-nine million, five hundred forty-five thousand, four hundred seventy-two".