466000800 has 72 divisors (see below), whose sum is σ = 1516840416. Its totient is φ = 124266240.

The previous prime is 466000789. The next prime is 466000823. The reversal of 466000800 is 8000664.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94684 + ... + 99483.

It is an arithmetic number, because the mean of its divisors is an integer number (21067228).

Almost surely, 2^466000800 is an apocalyptic number.

466000800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466000800 is an abundant number, since it is smaller than the sum of its proper divisors (1050839616).

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

466000800 is a wasteful number, since it uses less digits than its factorization.

466000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194190 (or 194177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 466000800 is about 21587.0516745571. The cubic root of 466000800 is about 775.2864983073.

The spelling of 466000800 in words is "four hundred sixty-six million, eight hundred", and thus it is an aban number.