466689680 has 40 divisors (see below), whose sum is σ = 1089753912. Its totient is φ = 185867264.

The previous prime is 466689679. The next prime is 466689689. The reversal of 466689680 is 86986664.

It can be written as a sum of positive squares in 4 ways, for example, as 11806096 + 454883584 = 3436^2 + 21328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (466689689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6122 + ... + 31158.

Almost surely, 2^466689680 is an apocalyptic number.

466689680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466689680 is an abundant number, since it is smaller than the sum of its proper divisors (623064232).

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

466689680 is a wasteful number, since it uses less digits than its factorization.

466689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25283 (or 25277 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The square root of 466689680 is about 21603.0016432902. The cubic root of 466689680 is about 775.6683405744.

The spelling of 466689680 in words is "four hundred sixty-six million, six hundred eighty-nine thousand, six hundred eighty".