731364480 has 768 divisors, whose sum is σ = 3368252160. Its totient is φ = 141557760.

The previous prime is 731364467. The next prime is 731364521. The reversal of 731364480 is 84463137.

731364480 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 644 + 8 + 0 = 666.

731364480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×731364480⁴ (a number of 37 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7539792 + ... + 7539888.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^731364480 is an apocalyptic number.

731364480 is a gapful number since it is divisible by the number (70) 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 731364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

731364480 is an abundant number, since it is smaller than the sum of its proper divisors (2636887680).

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

731364480 is a wasteful number, since it uses less digits than its factorization.

731364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 731364480 is about 27043.7512190894. The cubic root of 731364480 is about 900.9719869274.

The spelling of 731364480 in words is "seven hundred thirty-one million, three hundred sixty-four thousand, four hundred eighty".