466406800 has 60 divisors (see below), whose sum is σ = 1139592240. Its totient is φ = 183391360.

The previous prime is 466406761. The next prime is 466406807. The reversal of 466406800 is 8604664.

It is not an unprimeable number, because it can be changed into a prime (466406807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13719 + ... + 33481.

It is an arithmetic number, because the mean of its divisors is an integer number (18993204).

Almost surely, 2^466406800 is an apocalyptic number.

466406800 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 466406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569796120).

466406800 is an abundant number, since it is smaller than the sum of its proper divisors (673185440).

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

466406800 is a wasteful number, since it uses less digits than its factorization.

466406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840 (or 19829 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 466406800 is about 21596.4534125398. The cubic root of 466406800 is about 775.5115872985.

The spelling of 466406800 in words is "four hundred sixty-six million, four hundred six thousand, eight hundred".