413004312 has 128 divisors (see below), whose sum is σ = 1356480000. Its totient is φ = 113920128.

The previous prime is 413004299. The next prime is 413004313. The reversal of 413004312 is 213400314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413004313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39139 + ... + 48557.

It is an arithmetic number, because the mean of its divisors is an integer number (10597500).

Almost surely, 2^413004312 is an apocalyptic number.

413004312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678240000).

413004312 is an abundant number, since it is smaller than the sum of its proper divisors (943475688).

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

413004312 is a wasteful number, since it uses less digits than its factorization.

413004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413004312 is about 20322.5075224491. The cubic root of 413004312 is about 744.7060155617.

Adding to 413004312 its reverse (213400314), we get a palindrome (626404626).

The spelling of 413004312 in words is "four hundred thirteen million, four thousand, three hundred twelve".