414132100 has 72 divisors (see below), whose sum is σ = 937384448. Its totient is φ = 158630400.

The previous prime is 414132067. The next prime is 414132127. The reversal of 414132100 is 1231414.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318652 + ... + 319948.

Almost surely, 2^414132100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468692224).

414132100 is an abundant number, since it is smaller than the sum of its proper divisors (523252348).

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

414132100 is a wasteful number, since it uses less digits than its factorization.

414132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 414132100 is about 20350.2358708689. The cubic root of 414132100 is about 745.3832540028.

Adding to 414132100 its reverse (1231414), we get a palindrome (415363514).

The spelling of 414132100 in words is "four hundred fourteen million, one hundred thirty-two thousand, one hundred".