714480 has 80 divisors (see below), whose sum is σ = 2395680. Its totient is φ = 175104.

The previous prime is 714479. The next prime is 714481. The reversal of 714480 is 84417.

It is an interprime number because it is at equal distance from previous prime (714479) and next prime (714481).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 714480.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 714480.

It is not an unprimeable number, because it can be changed into a prime (714481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3006 + ... + 3234.

It is an arithmetic number, because the mean of its divisors is an integer number (29946).

2⁷¹⁴⁴⁸⁰ 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 714480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197840).

714480 is an abundant number, since it is smaller than the sum of its proper divisors (1681200).

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

714480 is a wasteful number, since it uses less digits than its factorization.

714480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 714480 is about 845.2691878922. The cubic root of 714480 is about 89.3984575003.

Adding to 714480 its reverse (84417), we get a palindrome (798897).

The spelling of 714480 in words is "seven hundred fourteen thousand, four hundred eighty".