249942720 has 224 divisors, whose sum is σ = 851489280. Its totient is φ = 61931520.

The previous prime is 249942697. The next prime is 249942751. The reversal of 249942720 is 27249942.

249942720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294944 + ... + 1295136.

Almost surely, 2^249942720 is an apocalyptic number.

249942720 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 249942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425744640).

249942720 is an abundant number, since it is smaller than the sum of its proper divisors (601546560).

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

249942720 is a wasteful number, since it uses less digits than its factorization.

249942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 249942720 is about 15809.5768444320. The cubic root of 249942720 is about 629.9124090873.

The spelling of 249942720 in words is "two hundred forty-nine million, nine hundred forty-two thousand, seven hundred twenty".