714666240 has 360 divisors, whose sum is σ = 2622129048. Its totient is φ = 185794560.

The previous prime is 714666229. The next prime is 714666269. The reversal of 714666240 is 42666417.

It can be written as a sum of positive squares in 4 ways, for example, as 65028096 + 649638144 = 8064^2 + 25488^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 714666195 and 714666204.

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 39 ways as a sum of consecutive naturals, for example, 6324424 + ... + 6324536.

Almost surely, 2^714666240 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 714666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311064524).

714666240 is an abundant number, since it is smaller than the sum of its proper divisors (1907462808).

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

714666240 is a wasteful number, since it uses less digits than its factorization.

714666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

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

The square root of 714666240 is about 26733.2422276087. The cubic root of 714666240 is about 894.0622451143.

The spelling of 714666240 in words is "seven hundred fourteen million, six hundred sixty-six thousand, two hundred forty".