714714000 has 960 divisors, whose sum is σ = 3334286592. Its totient is φ = 129024000.

The previous prime is 714713999. The next prime is 714714001. The reversal of 714714000 is 417417.

It is an interprime number because it is at equal distance from previous prime (714713999) and next prime (714714001).

It is a super-2 number, since 2×714714000² = 1021632203592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (714714001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42041992 + ... + 42042008.

Almost surely, 2^714714000 is an apocalyptic number.

714714000 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 714714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667143296).

714714000 is an abundant number, since it is smaller than the sum of its proper divisors (2619572592).

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

714714000 is a wasteful number, since it uses less digits than its factorization.

714714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 714714000 is about 26734.1354825624. The cubic root of 714714000 is about 894.0821609199.

The spelling of 714714000 in words is "seven hundred fourteen million, seven hundred fourteen thousand".