1414305200 has 240 divisors, whose sum is σ = 4330865664. Its totient is φ = 431001600.

The previous prime is 1414305187. The next prime is 1414305203. The reversal of 1414305200 is 25034141.

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

It is not an unprimeable number, because it can be changed into a prime (1414305203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447112 + ... + 1448088.

Almost surely, 2^1414305200 is an apocalyptic number.

1414305200 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 1414305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165432832).

1414305200 is an abundant number, since it is smaller than the sum of its proper divisors (2916560464).

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

1414305200 is a wasteful number, since it uses less digits than its factorization.

1414305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1414305200 is about 37607.2493011653. The cubic root of 1414305200 is about 1122.4862920633.

Adding to 1414305200 its reverse (25034141), we get a palindrome (1439339341).

The spelling of 1414305200 in words is "one billion, four hundred fourteen million, three hundred five thousand, two hundred".