731264000 has 176 divisors, whose sum is σ = 1896832080. Its totient is φ = 280985600.

The previous prime is 731263979. The next prime is 731264011. The reversal of 731264000 is 462137.

It can be written as a sum of positive squares in 8 ways, for example, as 52765696 + 678498304 = 7264^2 + 26048^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3711902 + ... + 3712098.

It is an arithmetic number, because the mean of its divisors is an integer number (10777455).

Almost surely, 2^731264000 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 731264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948416040).

731264000 is an abundant number, since it is smaller than the sum of its proper divisors (1165568080).

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

731264000 is a wasteful number, since it uses less digits than its factorization.

731264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 731264000 is about 27041.8934248325. The cubic root of 731264000 is about 900.9307244133.

The spelling of 731264000 in words is "seven hundred thirty-one million, two hundred sixty-four thousand".