714969600 has 240 divisors, whose sum is σ = 2422365792. Its totient is φ = 185794560.

The previous prime is 714969583. The next prime is 714969617. The reversal of 714969600 is 6969417.

It is an interprime number because it is at equal distance from previous prime (714969583) and next prime (714969617).

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

It is a super-2 number, since 2×714969600² = 1022363057848320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650984 + ... + 1651416.

Almost surely, 2^714969600 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 714969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211182896).

714969600 is an abundant number, since it is smaller than the sum of its proper divisors (1707396192).

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

714969600 is a wasteful number, since it uses less digits than its factorization.

714969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 714969600 is about 26738.9154604296. The cubic root of 714969600 is about 894.1887304303.

The spelling of 714969600 in words is "seven hundred fourteen million, nine hundred sixty-nine thousand, six hundred".