14472900 has 108 divisors (see below), whose sum is σ = 48893572. Its totient is φ = 3559680.

The previous prime is 14472893. The next prime is 14472919. The reversal of 14472900 is 927441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 589824 + 13883076 = 768^2 + 3726^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11082 + ... + 12318.

Almost surely, 2^14472900 is an apocalyptic number.

14472900 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 14472900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24446786).

14472900 is an abundant number, since it is smaller than the sum of its proper divisors (34420672).

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

14472900 is a wasteful number, since it uses less digits than its factorization.

14472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14472900 is about 3804.3264844122. The cubic root of 14472900 is about 243.6979375988.

It can be divided in two parts, 144 and 72900, that multiplied together give a square (10497600 = 3240²).

The spelling of 14472900 in words is "fourteen million, four hundred seventy-two thousand, nine hundred".