407641104 has 120 divisors (see below), whose sum is σ = 1246295232. Its totient is φ = 123621120.

The previous prime is 407641097. The next prime is 407641109. The reversal of 407641104 is 401146704.

407641104 is a `hidden beast` number, since 4 + 0 + 7 + 641 + 10 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (407641109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131379 + ... + 134445.

Almost surely, 2^407641104 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 407641104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623147616).

407641104 is an abundant number, since it is smaller than the sum of its proper divisors (838654128).

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

407641104 is a wasteful number, since it uses less digits than its factorization.

407641104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 407641104 is about 20190.1239223537. The cubic root of 407641104 is about 741.4684160993.

Adding to 407641104 its reverse (401146704), we get a palindrome (808787808).

The spelling of 407641104 in words is "four hundred seven million, six hundred forty-one thousand, one hundred four".