466312896 has 224 divisors, whose sum is σ = 1649984000. Its totient is φ = 126157824.

The previous prime is 466312867. The next prime is 466312909. The reversal of 466312896 is 698213664.

466312896 is a `hidden beast` number, since 4 + 6 + 631 + 2 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228810 + ... + 230838.

It is an arithmetic number, because the mean of its divisors is an integer number (7366000).

Almost surely, 2^466312896 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 466312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824992000).

466312896 is an abundant number, since it is smaller than the sum of its proper divisors (1183671104).

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

466312896 is a wasteful number, since it uses less digits than its factorization.

466312896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2060 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 466312896 is about 21594.2792424290. The cubic root of 466312896 is about 775.4595379373.

The spelling of 466312896 in words is "four hundred sixty-six million, three hundred twelve thousand, eight hundred ninety-six".