731484000 has 384 divisors, whose sum is σ = 2872920960. Its totient is φ = 179712000.

The previous prime is 731483941. The next prime is 731484011. The reversal of 731484000 is 484137.

731484000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403740 + ... + 1404260.

It is an arithmetic number, because the mean of its divisors is an integer number (7481565).

Almost surely, 2^731484000 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 731484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436460480).

731484000 is an abundant number, since it is smaller than the sum of its proper divisors (2141436960).

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

731484000 is a wasteful number, since it uses less digits than its factorization.

731484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 731484000 is about 27045.9608814329. The cubic root of 731484000 is about 901.0210633726.

The spelling of 731484000 in words is "seven hundred thirty-one million, four hundred eighty-four thousand".