466560000 has 385 divisors, whose sum is σ = 1747386751. Its totient is φ = 124416000.

The previous prime is 466559971. The next prime is 466560001. The reversal of 466560000 is 65664.

The square root of 466560000 is 21600.

It is a perfect power (a square), and thus also a powerful number.

466560000 is a `hidden beast` number, since 4 + 6 + 656 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 429981696 = 6048^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (466560001) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 93311998 + ... + 93312002.

Almost surely, 2^466560000 is an apocalyptic number.

466560000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

466560000 is the 21600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466560000

466560000 is an abundant number, since it is smaller than the sum of its proper divisors (1280826751).

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

466560000 is an frugal number, since it uses more digits than its factorization.

466560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 466560000 is about 775.5964884115.

The spelling of 466560000 in words is "four hundred sixty-six million, five hundred sixty thousand".