14981400 has 288 divisors, whose sum is σ = 60933600. Its totient is φ = 3225600.

The previous prime is 14981389. The next prime is 14981413. The reversal of 14981400 is 418941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365380 + ... + 365420.

It is an arithmetic number, because the mean of its divisors is an integer number (211575).

Almost surely, 2^14981400 is an apocalyptic number.

14981400 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 14981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

14981400 is an abundant number, since it is smaller than the sum of its proper divisors (45952200).

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

14981400 is a wasteful number, since it uses less digits than its factorization.

14981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14981400 is about 3870.5813516835. The cubic root of 14981400 is about 246.5192285044.

The spelling of 14981400 in words is "fourteen million, nine hundred eighty-one thousand, four hundred".