14690400 has 72 divisors (see below), whose sum is σ = 47825064. Its totient is φ = 3916800.

The previous prime is 14690387. The next prime is 14690411. The reversal of 14690400 is 409641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661 + ... + 5460.

It is an arithmetic number, because the mean of its divisors is an integer number (664237).

Almost surely, 2^14690400 is an apocalyptic number.

14690400 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 14690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23912532).

14690400 is an abundant number, since it is smaller than the sum of its proper divisors (33134664).

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

14690400 is a wasteful number, since it uses less digits than its factorization.

14690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14690400 is about 3832.8057607972. The cubic root of 14690400 is about 244.9126441308.

The spelling of 14690400 in words is "fourteen million, six hundred ninety thousand, four hundred".