460219419072 has 336 divisors, whose sum is σ = 1638130124800. Its totient is φ = 120551639040.

The previous prime is 460219419067. The next prime is 460219419073. The reversal of 460219419072 is 270914912064.

460219419072 is a `hidden beast` number, since 460 + 21 + 94 + 19 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460219419073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277954 + ... + 2471742.

Almost surely, 2^460219419072 is an apocalyptic number.

460219419072 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 460219419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819065062400).

460219419072 is an abundant number, since it is smaller than the sum of its proper divisors (1177910705728).

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

460219419072 is a wasteful number, since it uses less digits than its factorization.

460219419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193864 (or 193851 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 460219419072 in words is "four hundred sixty billion, two hundred nineteen million, four hundred nineteen thousand, seventy-two".