460213075872 has 240 divisors, whose sum is σ = 1481990235264. Its totient is φ = 138941568000.

The previous prime is 460213075871. The next prime is 460213075873. The reversal of 460213075872 is 278570312064.

460213075872 is a `hidden beast` number, since 4 + 60 + 2 + 1 + 3 + 0 + 7 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (460213075871) and next prime (460213075873).

It is not an unprimeable number, because it can be changed into a prime (460213075871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7696972 + ... + 7756532.

Almost surely, 2^460213075872 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 460213075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740995117632).

460213075872 is an abundant number, since it is smaller than the sum of its proper divisors (1021777159392).

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

460213075872 is a wasteful number, since it uses less digits than its factorization.

460213075872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59865 (or 59848 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 460213075872 in words is "four hundred sixty billion, two hundred thirteen million, seventy-five thousand, eight hundred seventy-two".