14408680 has 96 divisors (see below), whose sum is σ = 38543400. Its totient is φ = 4815360.

The previous prime is 14408677. The next prime is 14408683. The reversal of 14408680 is 8680441.

It is an interprime number because it is at equal distance from previous prime (14408677) and next prime (14408683).

It can be written as a sum of positive squares in 4 ways, for example, as 12236004 + 2172676 = 3498^2 + 1474^2 .

It is a super-2 number, since 2×14408680² = 415220118684800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14408683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62806 + ... + 63034.

Almost surely, 2^14408680 is an apocalyptic number.

14408680 is a gapful number since it is divisible by the number (10) 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 14408680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19271700).

14408680 is an abundant number, since it is smaller than the sum of its proper divisors (24134720).

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

14408680 is a wasteful number, since it uses less digits than its factorization.

14408680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 14408680 is about 3795.8767103266. The cubic root of 14408680 is about 243.3369528871.

The spelling of 14408680 in words is "fourteen million, four hundred eight thousand, six hundred eighty".