14561400 has 96 divisors (see below), whose sum is σ = 51603840. Its totient is φ = 3327360.

The previous prime is 14561303. The next prime is 14561411. The reversal of 14561400 is 416541.

14561400 = 197² + 198² + ... + 371².

14561400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2467 + ... + 5933.

It is an arithmetic number, because the mean of its divisors is an integer number (537540).

Almost surely, 2^14561400 is an apocalyptic number.

14561400 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 14561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801920).

14561400 is an abundant number, since it is smaller than the sum of its proper divisors (37042440).

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

14561400 is a wasteful number, since it uses less digits than its factorization.

14561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 14561400 is about 3815.9402511046. The cubic root of 14561400 is about 244.1936561674.

Adding to 14561400 its reverse (416541), we get a palindrome (14977941).

The spelling of 14561400 in words is "fourteen million, five hundred sixty-one thousand, four hundred".