14880400 has 30 divisors (see below), whose sum is σ = 35751122. Its totient is φ = 5952000.

The previous prime is 14880373. The next prime is 14880407. The reversal of 14880400 is 408841.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 14868736 = 108^2 + 3856^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14880407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18201 + ... + 19000.

Almost surely, 2^14880400 is an apocalyptic number.

14880400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14880400 is an abundant number, since it is smaller than the sum of its proper divisors (20870722).

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

14880400 is a wasteful number, since it uses less digits than its factorization.

14880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37219 (or 37208 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 14880400 is about 3857.5121516335. The cubic root of 14880400 is about 245.9639932318.

The spelling of 14880400 in words is "fourteen million, eight hundred eighty thousand, four hundred".