460852434223272 has 1024 divisors, whose sum is σ = 1677701652480000. Its totient is φ = 113746402344960.

The previous prime is 460852434223267. The next prime is 460852434223303. The reversal of 460852434223272 is 272322434258064.

460852434223272 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 5 + 2 + 4 + 342 + 23 + 272 = 666.

It is a super-2 number, since 2×460852434223272² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99343053129 + ... + 99343057767.

It is an arithmetic number, because the mean of its divisors is an integer number (1638380520000).

Almost surely, 2^{460852434223272} is an apocalyptic number.

460852434223272 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 460852434223272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838850826240000).

460852434223272 is an abundant number, since it is smaller than the sum of its proper divisors (1216849218256728).

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

460852434223272 is a wasteful number, since it uses less digits than its factorization.

460852434223272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 54.

The spelling of 460852434223272 in words is "four hundred sixty trillion, eight hundred fifty-two billion, four hundred thirty-four million, two hundred twenty-three thousand, two hundred seventy-two".