714386000 has 160 divisors (see below), whose sum is σ = 1819303200. Its totient is φ = 270950400.

The previous prime is 714385967. The next prime is 714386011. The reversal of 714386000 is 683417.

It can be written as a sum of positive squares in 16 ways, for example, as 625800256 + 88585744 = 25016^2 + 9412^2 .

It is a super-3 number, since 3×714386000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6321944 + ... + 6322056.

It is an arithmetic number, because the mean of its divisors is an integer number (11370645).

Almost surely, 2^714386000 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 714386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909651600).

714386000 is an abundant number, since it is smaller than the sum of its proper divisors (1104917200).

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

714386000 is a wasteful number, since it uses less digits than its factorization.

714386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 714386000 is about 26728.0002993116. Note that the first 3 decimals coincide. The cubic root of 714386000 is about 893.9453678243.

The spelling of 714386000 in words is "seven hundred fourteen million, three hundred eighty-six thousand".