404201312 has 48 divisors (see below), whose sum is σ = 824592384. Its totient is φ = 194832000.

The previous prime is 404201309. The next prime is 404201327. The reversal of 404201312 is 213102404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327737 + ... + 328967.

It is an arithmetic number, because the mean of its divisors is an integer number (17179008).

Almost surely, 2^404201312 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 404201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412296192).

404201312 is an abundant number, since it is smaller than the sum of its proper divisors (420391072).

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

404201312 is a wasteful number, since it uses less digits than its factorization.

404201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 404201312 is about 20104.7584417222. The cubic root of 404201312 is about 739.3769481690.

Adding to 404201312 its reverse (213102404), we get a palindrome (617303716).

The spelling of 404201312 in words is "four hundred four million, two hundred one thousand, three hundred twelve".