249284320 has 48 divisors (see below), whose sum is σ = 594479088. Its totient is φ = 98775040.

The previous prime is 249284317. The next prime is 249284323. The reversal of 249284320 is 23482942.

It is an interprime number because it is at equal distance from previous prime (249284317) and next prime (249284323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249284323) 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, 9840 + ... + 24400.

It is an arithmetic number, because the mean of its divisors is an integer number (12384981).

Almost surely, 2^249284320 is an apocalyptic number.

249284320 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 249284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297239544).

249284320 is an abundant number, since it is smaller than the sum of its proper divisors (345194768).

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

249284320 is a wasteful number, since it uses less digits than its factorization.

249284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14683 (or 14675 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 249284320 is about 15788.7402917396. The cubic root of 249284320 is about 629.3588168764.

The spelling of 249284320 in words is "two hundred forty-nine million, two hundred eighty-four thousand, three hundred twenty".