460050550056000 has 672 divisors, whose sum is σ = 1691451134886240. Its totient is φ = 119313063936000.

The previous prime is 460050550055933. The next prime is 460050550056011. The reversal of 460050550056000 is 650055050064.

It is a happy number.

460050550056000 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 50 + 550 + 0 + 56 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 454630072067136 + 5420477988864 = 21322056^2 + 2328192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390299532 + ... + 391476468.

It is an arithmetic number, because the mean of its divisors is an integer number (2517040379295).

Almost surely, 2^{460050550056000} is an apocalyptic number.

460050550056000 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 460050550056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845725567443120).

460050550056000 is an abundant number, since it is smaller than the sum of its proper divisors (1231400584830240).

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

460050550056000 is a wasteful number, since it uses less digits than its factorization.

460050550056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177120 (or 1177097 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 460050550056000 in words is "four hundred sixty trillion, fifty billion, five hundred fifty million, fifty-six thousand".