731247264 has 288 divisors, whose sum is σ = 2404007424. Its totient is φ = 216794880.

The previous prime is 731247221. The next prime is 731247269. The reversal of 731247264 is 462742137.

731247264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×731247264² = 1069445122214971392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (731247269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7099437 + ... + 7099539.

It is an arithmetic number, because the mean of its divisors is an integer number (8347248).

Almost surely, 2^731247264 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 731247264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202003712).

731247264 is an abundant number, since it is smaller than the sum of its proper divisors (1672760160).

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

731247264 is a wasteful number, since it uses less digits than its factorization.

731247264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 731247264 is about 27041.5839772747. The cubic root of 731247264 is about 900.9238513407.

The spelling of 731247264 in words is "seven hundred thirty-one million, two hundred forty-seven thousand, two hundred sixty-four".