1414275200 has 96 divisors (see below), whose sum is σ = 3762558660. Its totient is φ = 522178560.

The previous prime is 1414275139. The next prime is 1414275217. The reversal of 1414275200 is 25724141.

It can be written as a sum of positive squares in 6 ways, for example, as 329495104 + 1084780096 = 18152^2 + 32936^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1414275200.

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, 24602 + ... + 58598.

Almost surely, 2^1414275200 is an apocalyptic number.

1414275200 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 1414275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881279330).

1414275200 is an abundant number, since it is smaller than the sum of its proper divisors (2348283460).

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

1414275200 is a wasteful number, since it uses less digits than its factorization.

1414275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34034 (or 34017 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 1414275200 is about 37606.8504397803. The cubic root of 1414275200 is about 1122.4783553448.

Adding to 1414275200 its reverse (25724141), we get a palindrome (1439999341).

The spelling of 1414275200 in words is "one billion, four hundred fourteen million, two hundred seventy-five thousand, two hundred".