466476864 has 168 divisors, whose sum is σ = 1448958240. Its totient is φ = 132056064.

The previous prime is 466476851. The next prime is 466476877. The reversal of 466476864 is 468674664.

It is an interprime number because it is at equal distance from previous prime (466476851) and next prime (466476877).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1683894 + ... + 1684170.

Almost surely, 2^466476864 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 466476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724479120).

466476864 is an abundant number, since it is smaller than the sum of its proper divisors (982481376).

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

466476864 is a wasteful number, since it uses less digits than its factorization.

466476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 466476864 is about 21598.0754698191. The cubic root of 466476864 is about 775.5504180097.

The spelling of 466476864 in words is "four hundred sixty-six million, four hundred seventy-six thousand, eight hundred sixty-four".