466376680 has 128 divisors (see below), whose sum is σ = 1333428480. Its totient is φ = 142571520.

The previous prime is 466376671. The next prime is 466376699. The reversal of 466376680 is 86673664.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 466376680.

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 31 ways as a sum of consecutive naturals, for example, 161812 + ... + 164668.

It is an arithmetic number, because the mean of its divisors is an integer number (10417410).

Almost surely, 2^466376680 is an apocalyptic number.

466376680 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 466376680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666714240).

466376680 is an abundant number, since it is smaller than the sum of its proper divisors (867051800).

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

466376680 is a wasteful number, since it uses less digits than its factorization.

466376680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The square root of 466376680 is about 21595.7560645605. The cubic root of 466376680 is about 775.4948930652.

It can be divided in two parts, 466 and 376680, that added together give a triangular number (377146 = T₈₆₈).

The spelling of 466376680 in words is "four hundred sixty-six million, three hundred seventy-six thousand, six hundred eighty".