404646312 has 96 divisors (see below), whose sum is σ = 1201979520. Its totient is φ = 113137920.

The previous prime is 404646271. The next prime is 404646313. The reversal of 404646312 is 213646404.

It is a self number, because there is not a number n which added to its sum of digits gives 404646312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404646313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51612 + ... + 58932.

It is an arithmetic number, because the mean of its divisors is an integer number (12520620).

Almost surely, 2^404646312 is an apocalyptic number.

404646312 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 404646312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600989760).

404646312 is an abundant number, since it is smaller than the sum of its proper divisors (797333208).

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

404646312 is a wasteful number, since it uses less digits than its factorization.

404646312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 404646312 is about 20115.8224291228. The cubic root of 404646312 is about 739.6481843589.

The spelling of 404646312 in words is "four hundred four million, six hundred forty-six thousand, three hundred twelve".