414142100 has 36 divisors (see below), whose sum is σ = 951556284. Its totient is φ = 155911680.

The previous prime is 414142081. The next prime is 414142111. The reversal of 414142100 is 1241414.

It can be written as a sum of positive squares in 6 ways, for example, as 8844676 + 405297424 = 2974^2 + 20132^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 120107 + ... + 123506.

It is an arithmetic number, because the mean of its divisors is an integer number (26432119).

Almost surely, 2^414142100 is an apocalyptic number.

It is an amenable number.

414142100 is an abundant number, since it is smaller than the sum of its proper divisors (537414184).

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

414142100 is a wasteful number, since it uses less digits than its factorization.

414142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243644 (or 243637 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 414142100 is about 20350.4815667836. The cubic root of 414142100 is about 745.3892535157.

Adding to 414142100 its reverse (1241414), we get a palindrome (415383514).

The spelling of 414142100 in words is "four hundred fourteen million, one hundred forty-two thousand, one hundred".