714385984 has 63 divisors (see below), whose sum is σ = 1541040987. Its totient is φ = 328433664.

The previous prime is 714385967. The next prime is 714386011. The reversal of 714385984 is 489583417.

The square root of 714385984 is 26728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 663577600 = 7128^2 + 25760^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2779584 + ... + 2779840.

Almost surely, 2^714385984 is an apocalyptic number.

714385984 is the 26728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714385984

714385984 is an abundant number, since it is smaller than the sum of its proper divisors (826655003).

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

714385984 is an equidigital number, since it uses as much as digits as its factorization.

714385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 272 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The cubic root of 714385984 is about 893.9453611504.

Multiplying 714385984 by its sum of digits (49), we get a square (35004913216 = 187096²).

The spelling of 714385984 in words is "seven hundred fourteen million, three hundred eighty-five thousand, nine hundred eighty-four".