714147840 has 576 divisors, whose sum is σ = 3005009280. Its totient is φ = 159252480.

The previous prime is 714147839. The next prime is 714147901. The reversal of 714147840 is 48741417.

714147840 is a `hidden beast` number, since 7 + 141 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 714147795 and 714147804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418220 + ... + 17418260.

It is an arithmetic number, because the mean of its divisors is an integer number (5217030).

Almost surely, 2^714147840 is an apocalyptic number.

714147840 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 714147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502504640).

714147840 is an abundant number, since it is smaller than the sum of its proper divisors (2290861440).

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

714147840 is an equidigital number, since it uses as much as digits as its factorization.

714147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 714147840 is about 26723.5446750614. The cubic root of 714147840 is about 893.8460164503.

The spelling of 714147840 in words is "seven hundred fourteen million, one hundred forty-seven thousand, eight hundred forty".