460429125811200 has 5280 divisors, whose sum is σ = 2224912479820800. Its totient is φ = 91362510766080.

The previous prime is 460429125811199. The next prime is 460429125811229. The reversal of 460429125811200 is 2118521924064.

460429125811200 is a `hidden beast` number, since 4 + 6 + 0 + 42 + 9 + 1 + 2 + 581 + 1 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 598737484416 + ... + 598737485184.

It is an arithmetic number, because the mean of its divisors is an integer number (421384939360).

Almost surely, 2^{460429125811200} is an apocalyptic number.

460429125811200 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 460429125811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112456239910400).

460429125811200 is an abundant number, since it is smaller than the sum of its proper divisors (1764483354009600).

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

460429125811200 is a wasteful number, since it uses less digits than its factorization.

460429125811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 460429125811200 in words is "four hundred sixty trillion, four hundred twenty-nine billion, one hundred twenty-five million, eight hundred eleven thousand, two hundred".