14294280 has 384 divisors, whose sum is σ = 62052480. Its totient is φ = 2580480.

The previous prime is 14294261. The next prime is 14294299. The reversal of 14294280 is 8249241.

14294280 = T₁ + T₂ + ... + T₄₄₀.

14294280 is a nontrivial binomial coefficient, being equal to C(442, 3).

It is an interprime number because it is at equal distance from previous prime (14294261) and next prime (14294299).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is the 440-th tetrahedral number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840832 + ... + 840848.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 2^14294280 is an apocalyptic number.

14294280 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 14294280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

14294280 is an abundant number, since it is smaller than the sum of its proper divisors (47758200).

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

14294280 is a wasteful number, since it uses less digits than its factorization.

14294280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14294280 is about 3780.7776977759. Note that the first 3 decimals coincide. The cubic root of 14294280 is about 242.6912368284.

The spelling of 14294280 in words is "fourteen million, two hundred ninety-four thousand, two hundred eighty".