404466216 has 192 divisors, whose sum is σ = 1289312640. Its totient is φ = 103488000.

The previous prime is 404466199. The next prime is 404466217. The reversal of 404466216 is 612664404.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (404466217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053030 + ... + 2053226.

It is an arithmetic number, because the mean of its divisors is an integer number (6715170).

Almost surely, 2^404466216 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 404466216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644656320).

404466216 is an abundant number, since it is smaller than the sum of its proper divisors (884846424).

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

404466216 is a wasteful number, since it uses less digits than its factorization.

404466216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 404466216 is about 20111.3454547427. The cubic root of 404466216 is about 739.5384362961.

The spelling of 404466216 in words is "four hundred four million, four hundred sixty-six thousand, two hundred sixteen".