466460800 has 96 divisors (see below), whose sum is σ = 1241053380. Its totient is φ = 172216320.

The previous prime is 466460783. The next prime is 466460803. The reversal of 466460800 is 8064664.

It can be written as a sum of positive squares in 6 ways, for example, as 11235904 + 455224896 = 3352^2 + 21336^2 .

It is not an unprimeable number, because it can be changed into a prime (466460803) 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, 35994 + ... + 47206.

Almost surely, 2^466460800 is an apocalyptic number.

466460800 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 466460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620526690).

466460800 is an abundant number, since it is smaller than the sum of its proper divisors (774592580).

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

466460800 is a wasteful number, since it uses less digits than its factorization.

466460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250 (or 11233 counting only the distinct ones).

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

The square root of 466460800 is about 21597.7035816311. The cubic root of 466460800 is about 775.5415153996.

The spelling of 466460800 in words is "four hundred sixty-six million, four hundred sixty thousand, eight hundred".