714570240 has 320 divisors, whose sum is σ = 2474841600. Its totient is φ = 175325184.

The previous prime is 714570239. The next prime is 714570251. The reversal of 714570240 is 42075417.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×714570240² = 1021221255787315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 714570198 and 714570207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8609239 + ... + 8609321.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^714570240 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 714570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237420800).

714570240 is an abundant number, since it is smaller than the sum of its proper divisors (1760271360).

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

714570240 is a wasteful number, since it uses less digits than its factorization.

714570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 714570240 is about 26731.4466499664. The cubic root of 714570240 is about 894.0222106599.

The spelling of 714570240 in words is "seven hundred fourteen million, five hundred seventy thousand, two hundred forty".