714666400 has 144 divisors (see below), whose sum is σ = 2111489856. Its totient is φ = 230584320.

The previous prime is 714666377. The next prime is 714666481. The reversal of 714666400 is 4666417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 23 ways as a sum of consecutive naturals, for example, 91447 + ... + 98953.

It is an arithmetic number, because the mean of its divisors is an integer number (14663124).

Almost surely, 2^714666400 is an apocalyptic number.

714666400 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 714666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055744928).

714666400 is an abundant number, since it is smaller than the sum of its proper divisors (1396823456).

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

714666400 is a wasteful number, since it uses less digits than its factorization.

714666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7538 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 714666400 is about 26733.2452201374. The cubic root of 714666400 is about 894.0623118354.

The spelling of 714666400 in words is "seven hundred fourteen million, six hundred sixty-six thousand, four hundred".