14864400 has 90 divisors (see below), whose sum is σ = 51596090. Its totient is φ = 3962880.

The previous prime is 14864393. The next prime is 14864411. The reversal of 14864400 is 446841.

14864400 is a `hidden beast` number, since 14 + 8 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 13749264 = 1056^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1536 + ... + 5664.

Almost surely, 2^14864400 is an apocalyptic number.

14864400 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 14864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25798045).

14864400 is an abundant number, since it is smaller than the sum of its proper divisors (36731690).

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

14864400 is a wasteful number, since it uses less digits than its factorization.

14864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14864400 is about 3855.4377183402. The cubic root of 14864400 is about 245.8758048488.

It can be divided in two parts, 1486 and 4400, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 14864400 in words is "fourteen million, eight hundred sixty-four thousand, four hundred".