460773964800 has 1056 divisors, whose sum is σ = 1782481747200. Its totient is φ = 116493189120.

The previous prime is 460773964769. The next prime is 460773964801. The reversal of 460773964800 is 8469377064.

It is a happy number.

460773964800 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 73 + 96 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460773964801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099698991 + ... + 1099699409.

It is an arithmetic number, because the mean of its divisors is an integer number (1687956200).

Almost surely, 2^460773964800 is an apocalyptic number.

460773964800 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 460773964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891240873600).

460773964800 is an abundant number, since it is smaller than the sum of its proper divisors (1321707782400).

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

460773964800 is a wasteful number, since it uses less digits than its factorization.

460773964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 460773964800 in words is "four hundred sixty billion, seven hundred seventy-three million, nine hundred sixty-four thousand, eight hundred".