249707920 has 120 divisors (see below), whose sum is σ = 736881408. Its totient is φ = 77817600.

The previous prime is 249707911. The next prime is 249707929. The reversal of 249707920 is 29707942.

249707920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249707911) and next prime (249707929).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (249707929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40225 + ... + 46015.

Almost surely, 2^249707920 is an apocalyptic number.

249707920 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 249707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368440704).

249707920 is an abundant number, since it is smaller than the sum of its proper divisors (487173488).

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

249707920 is a wasteful number, since it uses less digits than its factorization.

249707920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 249707920 is about 15802.1492209130. The cubic root of 249707920 is about 629.7150975165.

The spelling of 249707920 in words is "two hundred forty-nine million, seven hundred seven thousand, nine hundred twenty".