249937920 has 240 divisors, whose sum is σ = 896505120. Its totient is φ = 66060288.

The previous prime is 249937907. The next prime is 249937937. The reversal of 249937920 is 29739942.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2211784 + ... + 2211896.

It is an arithmetic number, because the mean of its divisors is an integer number (3735438).

Almost surely, 2^249937920 is an apocalyptic number.

249937920 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 249937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448252560).

249937920 is an abundant number, since it is smaller than the sum of its proper divisors (646567200).

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

249937920 is an equidigital number, since it uses as much as digits as its factorization.

249937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 249937920 is about 15809.4250369835. The cubic root of 249937920 is about 629.9083766982.

The spelling of 249937920 in words is "two hundred forty-nine million, nine hundred thirty-seven thousand, nine hundred twenty".