731648000 has 104 divisors (see below), whose sum is σ = 1827248280. Its totient is φ = 292454400.

The previous prime is 731647937. The next prime is 731648033. The reversal of 731648000 is 846137.

It can be written as a sum of positive squares in 4 ways, for example, as 152571904 + 579076096 = 12352^2 + 24064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511286 + ... + 512714.

It is an arithmetic number, because the mean of its divisors is an integer number (17569695).

Almost surely, 2^731648000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913624140).

731648000 is an abundant number, since it is smaller than the sum of its proper divisors (1095600280).

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

731648000 is an equidigital number, since it uses as much as digits as its factorization.

731648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 731648000 is about 27048.9925875253. The cubic root of 731648000 is about 901.0883951768.

The spelling of 731648000 in words is "seven hundred thirty-one million, six hundred forty-eight thousand".