14920400 has 60 divisors (see below), whose sum is σ = 39116544. Its totient is φ = 5424000.

The previous prime is 14920379. The next prime is 14920421. The reversal of 14920400 is 402941.

14920400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14920379) and next prime (14920421).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2705 + ... + 6095.

Almost surely, 2^14920400 is an apocalyptic number.

14920400 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 14920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19558272).

14920400 is an abundant number, since it is smaller than the sum of its proper divisors (24196144).

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

14920400 is a wasteful number, since it uses less digits than its factorization.

14920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 14920400 is about 3862.6933608559. The cubic root of 14920400 is about 246.1841879665.

The spelling of 14920400 in words is "fourteen million, nine hundred twenty thousand, four hundred".