466485102720 has 1152 divisors, whose sum is σ = 2111241075840. Its totient is φ = 92610625536.

The previous prime is 466485102641. The next prime is 466485102757. The reversal of 466485102720 is 27201584664.

466485102720 is a `hidden beast` number, since 4 + 6 + 64 + 8 + 510 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115837347 + ... + 115841373.

It is an arithmetic number, because the mean of its divisors is an integer number (1832674545).

Almost surely, 2^466485102720 is an apocalyptic number.

466485102720 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 466485102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055620537920).

466485102720 is an abundant number, since it is smaller than the sum of its proper divisors (1644755973120).

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

466485102720 is a wasteful number, since it uses less digits than its factorization.

466485102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 466485102720 in words is "four hundred sixty-six billion, four hundred eighty-five million, one hundred two thousand, seven hundred twenty".