249924160 has 56 divisors (see below), whose sum is σ = 596783160. Its totient is φ = 99692544.

The previous prime is 249924149. The next prime is 249924161. The reversal of 249924160 is 61429942.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30647296 + 219276864 = 5536^2 + 14808^2 .

It is not an unprimeable number, because it can be changed into a prime (249924161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145386 + ... + 147094.

Almost surely, 2^249924160 is an apocalyptic number.

249924160 is a gapful number since it is divisible by the number (20) 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 249924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298391580).

249924160 is an abundant number, since it is smaller than the sum of its proper divisors (346859000).

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

249924160 is a wasteful number, since it uses less digits than its factorization.

249924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 249924160 is about 15808.9898475519. The cubic root of 249924160 is about 629.8968168966.

The spelling of 249924160 in words is "two hundred forty-nine million, nine hundred twenty-four thousand, one hundred sixty".