414001100 has 36 divisors (see below), whose sum is σ = 929367600. Its totient is φ = 159888960.

The previous prime is 414001099. The next prime is 414001109. The reversal of 414001100 is 1100414.

It is not an unprimeable number, because it can be changed into a prime (414001109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68480 + ... + 74279.

Almost surely, 2^414001100 is an apocalyptic number.

It is an amenable number.

414001100 is an abundant number, since it is smaller than the sum of its proper divisors (515366500).

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

414001100 is a wasteful number, since it uses less digits than its factorization.

414001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142802 (or 142795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 414001100 is about 20347.0169803831. The cubic root of 414001100 is about 745.3046514636.

Adding to 414001100 its reverse (1100414), we get a palindrome (415101514).

The spelling of 414001100 in words is "four hundred fourteen million, one thousand, one hundred".