466116768 has 336 divisors, whose sum is σ = 1561722120. Its totient is φ = 135862272.

The previous prime is 466116737. The next prime is 466116769. The reversal of 466116768 is 867611664.

466116768 is a `hidden beast` number, since 466 + 116 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 373726224 + 92390544 = 19332^2 + 9612^2 .

It is not an unprimeable number, because it can be changed into a prime (466116769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8794630 + ... + 8794682.

Almost surely, 2^466116768 is an apocalyptic number.

466116768 is a gapful number since it is divisible by the number (48) 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 466116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780861060).

466116768 is an abundant number, since it is smaller than the sum of its proper divisors (1095605352).

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

466116768 is a wasteful number, since it uses less digits than its factorization.

466116768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 466116768 is about 21589.7375620919. The cubic root of 466116768 is about 775.3508050406.

The spelling of 466116768 in words is "four hundred sixty-six million, one hundred sixteen thousand, seven hundred sixty-eight".