414100938 has 16 divisors (see below), whose sum is σ = 829440576. Its totient is φ = 137827200.

The previous prime is 414100933. The next prime is 414100957. The reversal of 414100938 is 839001414.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414100933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47238 + ... + 55313.

It is an arithmetic number, because the mean of its divisors is an integer number (51840036).

Almost surely, 2^414100938 is an apocalyptic number.

414100938 is an abundant number, since it is smaller than the sum of its proper divisors (415339638).

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

414100938 is a wasteful number, since it uses less digits than its factorization.

414100938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103229.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 414100938 is about 20349.4702142341. The cubic root of 414100938 is about 745.3645577015.

The spelling of 414100938 in words is "four hundred fourteen million, one hundred thousand, nine hundred thirty-eight".