460327212 has 240 divisors, whose sum is σ = 1359536640. Its totient is φ = 135209088.

The previous prime is 460327211. The next prime is 460327229. The reversal of 460327212 is 212723064.

It is a super-2 number, since 2×460327212² = 423802284215385888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460327211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9794173 + ... + 9794219.

It is an arithmetic number, because the mean of its divisors is an integer number (5664736).

Almost surely, 2^460327212 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 460327212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679768320).

460327212 is an abundant number, since it is smaller than the sum of its proper divisors (899209428).

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

460327212 is a wasteful number, since it uses less digits than its factorization.

460327212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 460327212 is about 21455.2374025551. The cubic root of 460327212 is about 772.1272553697.

The spelling of 460327212 in words is "four hundred sixty million, three hundred twenty-seven thousand, two hundred twelve".