466008816420 has 72 divisors (see below), whose sum is σ = 1615497234624. Its totient is φ = 106516300608.

The previous prime is 466008816419. The next prime is 466008816421. The reversal of 466008816420 is 24618800664.

466008816420 is a `hidden beast` number, since 4 + 6 + 600 + 8 + 8 + 16 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (466008816419) and next prime (466008816421).

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

It is not an unprimeable number, because it can be changed into a prime (466008816421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184922874 + ... + 184925393.

It is an arithmetic number, because the mean of its divisors is an integer number (22437461592).

Almost surely, 2^466008816420 is an apocalyptic number.

It is an amenable number.

466008816420 is an abundant number, since it is smaller than the sum of its proper divisors (1149488418204).

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

466008816420 is a wasteful number, since it uses less digits than its factorization.

466008816420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369848289 (or 369848284 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 466008816420 in words is "four hundred sixty-six billion, eight million, eight hundred sixteen thousand, four hundred twenty".