460890243072 has 612 divisors, whose sum is σ = 1594381198176. Its totient is φ = 127826657280.

The previous prime is 460890243067. The next prime is 460890243089. The reversal of 460890243072 is 270342098064.

460890243072 is a `hidden beast` number, since 4 + 60 + 8 + 90 + 2 + 430 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1069350697 + ... + 1069351127.

Almost surely, 2^460890243072 is an apocalyptic number.

460890243072 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 460890243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797190599088).

460890243072 is an abundant number, since it is smaller than the sum of its proper divisors (1133490955104).

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

460890243072 is an equidigital number, since it uses as much as digits as its factorization.

460890243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 460890243072 in words is "four hundred sixty billion, eight hundred ninety million, two hundred forty-three thousand, seventy-two".