460226293632 has 768 divisors, whose sum is σ = 1622749040640. Its totient is φ = 122425344000.

The previous prime is 460226293627. The next prime is 460226293651. The reversal of 460226293632 is 236392622064.

It is a happy number.

460226293632 is a `hidden beast` number, since 4 + 6 + 0 + 2 + 2 + 6 + 2 + 9 + 3 + 632 = 666.

It is a congruent number.

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, 850695282 + ... + 850695822.

It is an arithmetic number, because the mean of its divisors is an integer number (2112954480).

Almost surely, 2^460226293632 is an apocalyptic number.

460226293632 is a gapful number since it is divisible by the number (42) 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 460226293632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811374520320).

460226293632 is an abundant number, since it is smaller than the sum of its proper divisors (1162522747008).

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

460226293632 is a wasteful number, since it uses less digits than its factorization.

460226293632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 460226293632 in words is "four hundred sixty billion, two hundred twenty-six million, two hundred ninety-three thousand, six hundred thirty-two".