404081216 has 112 divisors (see below), whose sum is σ = 1007741952. Its totient is φ = 156172800.

The previous prime is 404081213. The next prime is 404081219. The reversal of 404081216 is 612180404.

It is an interprime number because it is at equal distance from previous prime (404081213) and next prime (404081219).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (404081213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822731 + ... + 823221.

It is an arithmetic number, because the mean of its divisors is an integer number (8997696).

Almost surely, 2^404081216 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 404081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503870976).

404081216 is an abundant number, since it is smaller than the sum of its proper divisors (603660736).

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

404081216 is a wasteful number, since it uses less digits than its factorization.

404081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 404081216 is about 20101.7714642267. The cubic root of 404081216 is about 739.3037132016.

The spelling of 404081216 in words is "four hundred four million, eighty-one thousand, two hundred sixteen".