714294000 has 240 divisors, whose sum is σ = 2851692480. Its totient is φ = 163238400.

The previous prime is 714293989. The next prime is 714294019. The reversal of 714294000 is 492417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×714294000³ (a number of 28 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 123166 + ... + 128834.

It is an arithmetic number, because the mean of its divisors is an integer number (11882052).

Almost surely, 2^714294000 is an apocalyptic number.

714294000 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 714294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425846240).

714294000 is an abundant number, since it is smaller than the sum of its proper divisors (2137398480).

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

714294000 is a wasteful number, since it uses less digits than its factorization.

714294000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 714294000 is about 26726.2792023132. The cubic root of 714294000 is about 893.9069915102.

The spelling of 714294000 in words is "seven hundred fourteen million, two hundred ninety-four thousand".