466436880 has 600 divisors, whose sum is σ = 2047415832. Its totient is φ = 97542144.

The previous prime is 466436851. The next prime is 466436917. The reversal of 466436880 is 88634664.

It can be written as a sum of positive squares in 4 ways, for example, as 18352656 + 448084224 = 4284^2 + 21168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4127704 + ... + 4127816.

Almost surely, 2^466436880 is an apocalyptic number.

466436880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023707916).

466436880 is an abundant number, since it is smaller than the sum of its proper divisors (1580978952).

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

466436880 is a wasteful number, since it uses less digits than its factorization.

466436880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 466436880 is about 21597.1498119544. The cubic root of 466436880 is about 775.5282586442.

The spelling of 466436880 in words is "four hundred sixty-six million, four hundred thirty-six thousand, eight hundred eighty".