404949312 has 84 divisors (see below), whose sum is σ = 1192147476. Its totient is φ = 131328000.

The previous prime is 404949289. The next prime is 404949313. The reversal of 404949312 is 213949404.

It can be written as a sum of positive squares in 2 ways, for example, as 217149696 + 187799616 = 14736^2 + 13704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404949313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11812 + ... + 30812.

Almost surely, 2^404949312 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 404949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596073738).

404949312 is an abundant number, since it is smaller than the sum of its proper divisors (787198164).

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

404949312 is a wasteful number, since it uses less digits than its factorization.

404949312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19056 (or 19043 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 404949312 is about 20123.3524046069. The cubic root of 404949312 is about 739.8327549971.

It can be divided in two parts, 4049 and 49312, that added together give a square (53361 = 231²).

The spelling of 404949312 in words is "four hundred four million, nine hundred forty-nine thousand, three hundred twelve".