460201654248 has 256 divisors, whose sum is σ = 1456443555840. Its totient is φ = 118069248000.

The previous prime is 460201654223. The next prime is 460201654249. The reversal of 460201654248 is 842456102064.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (460201654249) 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 63 ways as a sum of consecutive naturals, for example, 26332153 + ... + 26349623.

It is an arithmetic number, because the mean of its divisors is an integer number (5689232640).

Almost surely, 2^460201654248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460201654248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728221777920).

460201654248 is an abundant number, since it is smaller than the sum of its proper divisors (996241901592).

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

460201654248 is a wasteful number, since it uses less digits than its factorization.

460201654248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17928 (or 17924 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 460201654248 in words is "four hundred sixty billion, two hundred one million, six hundred fifty-four thousand, two hundred forty-eight".