414242832 has 80 divisors (see below), whose sum is σ = 1111928832. Its totient is φ = 132746880.

The previous prime is 414242827. The next prime is 414242839. The reversal of 414242832 is 238242414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 414242832.

It is not an unprimeable number, because it can be changed into a prime (414242839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247663 + ... + 249329.

Almost surely, 2^414242832 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 414242832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555964416).

414242832 is an abundant number, since it is smaller than the sum of its proper divisors (697686000).

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

414242832 is a wasteful number, since it uses less digits than its factorization.

414242832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1870 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 414242832 is about 20352.9563454551. The cubic root of 414242832 is about 745.4496824228.

The spelling of 414242832 in words is "four hundred fourteen million, two hundred forty-two thousand, eight hundred thirty-two".