16314400 has 36 divisors (see below), whose sum is σ = 39829482. Its totient is φ = 6525440.

The previous prime is 16314391. The next prime is 16314409. The reversal of 16314400 is 441361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16314391) and next prime (16314409).

It can be written as a sum of positive squares in 3 ways, for example, as 12362256 + 3952144 = 3516^2 + 1988^2 .

It is not an unprimeable number, because it can be changed into a prime (16314409) 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, 9397 + ... + 10996.

Almost surely, 2^16314400 is an apocalyptic number.

16314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16314400 is an abundant number, since it is smaller than the sum of its proper divisors (23515082).

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

16314400 is a wasteful number, since it uses less digits than its factorization.

16314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20413 (or 20400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 16314400 is about 4039.1088125972. The cubic root of 16314400 is about 253.6240122951.

Adding to 16314400 its reverse (441361), we get a palindrome (16755761).

The spelling of 16314400 in words is "sixteen million, three hundred fourteen thousand, four hundred".