14670400 has 84 divisors (see below), whose sum is σ = 36992052. Its totient is φ = 5724160.

The previous prime is 14670373. The next prime is 14670431. The reversal of 14670400 is 407641.

It can be written as a sum of positive squares in 6 ways, for example, as 652864 + 14017536 = 808^2 + 3744^2 .

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 11 ways as a sum of consecutive naturals, for example, 84714 + ... + 84886.

Almost surely, 2^14670400 is an apocalyptic number.

14670400 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 14670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496026).

14670400 is an abundant number, since it is smaller than the sum of its proper divisors (22321652).

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

14670400 is a wasteful number, since it uses less digits than its factorization.

14670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 14670400 is about 3830.1958174485. The cubic root of 14670400 is about 244.8014495763.

The spelling of 14670400 in words is "fourteen million, six hundred seventy thousand, four hundred".