14945280 has 176 divisors, whose sum is σ = 55023360. Its totient is φ = 3391488.

The previous prime is 14945257. The next prime is 14945291. The reversal of 14945280 is 8254941.

It is a super-2 number, since 2×14945280² = 446722788556800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107451 + ... + 107589.

Almost surely, 2^14945280 is an apocalyptic number.

14945280 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 14945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27511680).

14945280 is an abundant number, since it is smaller than the sum of its proper divisors (40078080).

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

14945280 is a wasteful number, since it uses less digits than its factorization.

14945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 14945280 is about 3865.9125701443. The cubic root of 14945280 is about 246.3209506360.

It can be divided in two parts, 14945 and 280, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 14945280 in words is "fourteen million, nine hundred forty-five thousand, two hundred eighty".