414113832 has 48 divisors (see below), whose sum is σ = 1223520480. Its totient is φ = 125488800.

The previous prime is 414113803. The next prime is 414113849. The reversal of 414113832 is 238311414.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 414113796 and 414113805.

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, 260644 + ... + 262227.

It is an arithmetic number, because the mean of its divisors is an integer number (25490010).

Almost surely, 2^414113832 is an apocalyptic number.

It is an amenable number.

414113832 is an abundant number, since it is smaller than the sum of its proper divisors (809406648).

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

414113832 is a wasteful number, since it uses less digits than its factorization.

414113832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522894 (or 522887 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 414113832 is about 20349.7870259126. The cubic root of 414113832 is about 745.3722938434.

The spelling of 414113832 in words is "four hundred fourteen million, one hundred thirteen thousand, eight hundred thirty-two".