249835872 has 96 divisors (see below), whose sum is σ = 770515200. Its totient is φ = 69880320.

The previous prime is 249835853. The next prime is 249835897. The reversal of 249835872 is 278538942.

It is a tau number, because it is divible by the number of its divisors (96).

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, 4629 + ... + 22827.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2^249835872 is an apocalyptic number.

249835872 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 249835872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

249835872 is an abundant number, since it is smaller than the sum of its proper divisors (520679328).

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

249835872 is a wasteful number, since it uses less digits than its factorization.

249835872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18236 (or 18228 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 249835872 is about 15806.1972656297. The cubic root of 249835872 is about 629.8226358864.

The spelling of 249835872 in words is "two hundred forty-nine million, eight hundred thirty-five thousand, eight hundred seventy-two".