14484100 has 36 divisors (see below), whose sum is σ = 31613428. Its totient is φ = 5760000.

The previous prime is 14484083. The next prime is 14484101. The reversal of 14484100 is 148441.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 14032516 = 672^2 + 3746^2 .

It is not an unprimeable number, because it can be changed into a prime (14484101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23800 + ... + 24400.

Almost surely, 2^14484100 is an apocalyptic number.

14484100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14484100 is an abundant number, since it is smaller than the sum of its proper divisors (17129328).

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

14484100 is a wasteful number, since it uses less digits than its factorization.

14484100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 14484100 is about 3805.7982079979. The cubic root of 14484100 is about 243.7607840944.

It can be divided in two parts, 144 and 84100, that multiplied together give a square (12110400 = 3480²).

The spelling of 14484100 in words is "fourteen million, four hundred eighty-four thousand, one hundred".