1414800 has 120 divisors (see below), whose sum is σ = 5074080. Its totient is φ = 374400.

The previous prime is 1414741. The next prime is 1414801. The reversal of 1414800 is 84141.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (1414801) 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, 10735 + ... + 10865.

It is an arithmetic number, because the mean of its divisors is an integer number (42284).

2^1414800 is an apocalyptic number.

1414800 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 1414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537040).

1414800 is an abundant number, since it is smaller than the sum of its proper divisors (3659280).

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

1414800 is a wasteful number, since it uses less digits than its factorization.

1414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1414800 is about 1189.4536560959. The cubic root of 1414800 is about 112.2617178819.

Adding to 1414800 its reverse (84141), we get a palindrome (1498941).

The spelling of 1414800 in words is "one million, four hundred fourteen thousand, eight hundred".