14780400 has 120 divisors (see below), whose sum is σ = 48203760. Its totient is φ = 3870720.

The previous prime is 14780399. The next prime is 14780407. The reversal of 14780400 is 408741.

14780400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14780407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130744 + ... + 130856.

It is an arithmetic number, because the mean of its divisors is an integer number (401698).

Almost surely, 2^14780400 is an apocalyptic number.

14780400 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 14780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24101880).

14780400 is an abundant number, since it is smaller than the sum of its proper divisors (33423360).

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

14780400 is a wasteful number, since it uses less digits than its factorization.

14780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 14780400 is about 3844.5285796831. The cubic root of 14780400 is about 245.4117745652.

The spelling of 14780400 in words is "fourteen million, seven hundred eighty thousand, four hundred".