714396240 has 320 divisors, whose sum is σ = 2605547520. Its totient is φ = 179642880.

The previous prime is 714396223. The next prime is 714396247. The reversal of 714396240 is 42693417.

It is a super-2 number, since 2×714396240² = 1020723975452275200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 714396195 and 714396204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714396247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3147007 + ... + 3147233.

It is an arithmetic number, because the mean of its divisors is an integer number (8142336).

Almost surely, 2^714396240 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 714396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302773760).

714396240 is an abundant number, since it is smaller than the sum of its proper divisors (1891151280).

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

714396240 is a wasteful number, since it uses less digits than its factorization.

714396240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 714396240 is about 26728.1918580363. The cubic root of 714396240 is about 893.9496390711.

The spelling of 714396240 in words is "seven hundred fourteen million, three hundred ninety-six thousand, two hundred forty".