460616452800 has 672 divisors, whose sum is σ = 1824238241280. Its totient is φ = 99400089600.

The previous prime is 460616452771. The next prime is 460616452801. The reversal of 460616452800 is 8254616064.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (460616452801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215139730 + ... + 215141870.

It is an arithmetic number, because the mean of its divisors is an integer number (2714640240).

Almost surely, 2^460616452800 is an apocalyptic number.

460616452800 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 460616452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912119120640).

460616452800 is an abundant number, since it is smaller than the sum of its proper divisors (1363621788480).

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

460616452800 is a wasteful number, since it uses less digits than its factorization.

460616452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 460616452800 in words is "four hundred sixty billion, six hundred sixteen million, four hundred fifty-two thousand, eight hundred".