249598272 has 112 divisors (see below), whose sum is σ = 823398912. Its totient is φ = 64826880.

The previous prime is 249598241. The next prime is 249598289. The reversal of 249598272 is 272895942.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6343 + ... + 23225.

It is an arithmetic number, because the mean of its divisors is an integer number (7351776).

Almost surely, 2^249598272 is an apocalyptic number.

249598272 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 249598272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411699456).

249598272 is an abundant number, since it is smaller than the sum of its proper divisors (573800640).

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

249598272 is a wasteful number, since it uses less digits than its factorization.

249598272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916 (or 16906 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 249598272 is about 15798.6794384847. The cubic root of 249598272 is about 629.6229136699.

The spelling of 249598272 in words is "two hundred forty-nine million, five hundred ninety-eight thousand, two hundred seventy-two".