1414534400 has 54 divisors (see below), whose sum is σ = 3501209502. Its totient is φ = 565811200.

The previous prime is 1414534397. The next prime is 1414534409. The reversal of 1414534400 is 44354141.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 477684736 + 936849664 = 21856^2 + 30608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1414534400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414534409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104111 + ... + 116910.

It is an arithmetic number, because the mean of its divisors is an integer number (64837213).

Almost surely, 2^1414534400 is an apocalyptic number.

1414534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414534400 is an abundant number, since it is smaller than the sum of its proper divisors (2086675102).

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

1414534400 is an equidigital number, since it uses as much as digits as its factorization.

1414534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221047 (or 221028 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1414534400 is about 37610.2964625380. The cubic root of 1414534400 is about 1122.5469248889.

Adding to 1414534400 its reverse (44354141), we get a palindrome (1458888541).

The spelling of 1414534400 in words is "one billion, four hundred fourteen million, five hundred thirty-four thousand, four hundred".