407441034 has 96 divisors (see below), whose sum is σ = 1185335424. Its totient is φ = 97683840.

The previous prime is 407441033. The next prime is 407441059. The reversal of 407441034 is 430144704.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 407440989 and 407441007.

It is not an unprimeable number, because it can be changed into a prime (407441033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6712 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (12347244).

Almost surely, 2^407441034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407441034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592667712).

407441034 is an abundant number, since it is smaller than the sum of its proper divisors (777894390).

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

407441034 is a wasteful number, since it uses less digits than its factorization.

407441034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22652 (or 22649 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 407441034 is about 20185.1686641455. The cubic root of 407441034 is about 741.3470921696.

Adding to 407441034 its reverse (430144704), we get a palindrome (837585738).

The spelling of 407441034 in words is "four hundred seven million, four hundred forty-one thousand, thirty-four".