244007680 has 144 divisors (see below), whose sum is σ = 676678464. Its totient is φ = 82575360.

The previous prime is 244007627. The next prime is 244007693. The reversal of 244007680 is 86700442.

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, 1012360 + ... + 1012600.

It is an arithmetic number, because the mean of its divisors is an integer number (4699156).

Almost surely, 2^244007680 is an apocalyptic number.

244007680 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 244007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338339232).

244007680 is an abundant number, since it is smaller than the sum of its proper divisors (432670784).

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

244007680 is a wasteful number, since it uses less digits than its factorization.

244007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 244007680 is about 15620.7451806884. The cubic root of 244007680 is about 624.8865330016.

The spelling of 244007680 in words is "two hundred forty-four million, seven thousand, six hundred eighty".