413432004 has 48 divisors (see below), whose sum is σ = 1003665600. Its totient is φ = 132295296.

The previous prime is 413431981. The next prime is 413432011. The reversal of 413432004 is 400234314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58974 + ... + 65610.

It is an arithmetic number, because the mean of its divisors is an integer number (20909700).

Almost surely, 2^413432004 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 413432004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501832800).

413432004 is an abundant number, since it is smaller than the sum of its proper divisors (590233596).

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

413432004 is a wasteful number, since it uses less digits than its factorization.

413432004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 413432004 is about 20333.0274184638. The cubic root of 413432004 is about 744.9629902189.

Adding to 413432004 its reverse (400234314), we get a palindrome (813666318).

The spelling of 413432004 in words is "four hundred thirteen million, four hundred thirty-two thousand, four".