460812027157248 has 1152 divisors, whose sum is σ = 1424607479285760. Its totient is φ = 131152061399040.

The previous prime is 460812027157247. The next prime is 460812027157297. The reversal of 460812027157248 is 842751720218064.

It is not an unprimeable number, because it can be changed into a prime (460812027157241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 209174772915 + ... + 209174775117.

It is an arithmetic number, because the mean of its divisors is an integer number (1236638436880).

Almost surely, 2^{460812027157248} is an apocalyptic number.

460812027157248 is a gapful number since it is divisible by the number (48) 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 460812027157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712303739642880).

460812027157248 is an abundant number, since it is smaller than the sum of its proper divisors (963795452128512).

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

460812027157248 is a wasteful number, since it uses less digits than its factorization.

460812027157248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The spelling of 460812027157248 in words is "four hundred sixty trillion, eight hundred twelve billion, twenty-seven million, one hundred fifty-seven thousand, two hundred forty-eight".