460278195013728 has 768 divisors, whose sum is σ = 1752583960995840. Its totient is φ = 114048222953472.

The previous prime is 460278195013727. The next prime is 460278195013759. The reversal of 460278195013728 is 827310591872064.

460278195013728 is a `hidden beast` number, since 4 + 6 + 0 + 2 + 78 + 1 + 9 + 501 + 37 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460278195013727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 752204476 + ... + 752816132.

It is an arithmetic number, because the mean of its divisors is an integer number (2282010365880).

It is a 1-persistent number, because it is pandigital, but 2⋅460278195013728 = 920556390027456 is not.

Almost surely, 2^{460278195013728} is an apocalyptic number.

460278195013728 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 460278195013728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876291980497920).

460278195013728 is an abundant number, since it is smaller than the sum of its proper divisors (1292305765982112).

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

460278195013728 is a wasteful number, since it uses less digits than its factorization.

460278195013728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612276 (or 612262 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 460278195013728 in words is "four hundred sixty trillion, two hundred seventy-eight billion, one hundred ninety-five million, thirteen thousand, seven hundred twenty-eight".