466104408 has 128 divisors (see below), whose sum is σ = 1459261440. Its totient is φ = 120528000.

The previous prime is 466104403. The next prime is 466104413. The reversal of 466104408 is 804401664.

It is an interprime number because it is at equal distance from previous prime (466104403) and next prime (466104413).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466104403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574323 + ... + 575133.

It is an arithmetic number, because the mean of its divisors is an integer number (11400480).

Almost surely, 2^466104408 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 466104408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729630720).

466104408 is an abundant number, since it is smaller than the sum of its proper divisors (993157032).

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

466104408 is a wasteful number, since it uses less digits than its factorization.

466104408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 466104408 is about 21589.4513130834. The cubic root of 466104408 is about 775.3439516645.

The spelling of 466104408 in words is "four hundred sixty-six million, one hundred four thousand, four hundred eight".