460890890892 has 96 divisors (see below), whose sum is σ = 1265504264640. Its totient is φ = 144557383680.

The previous prime is 460890890879. The next prime is 460890890893. The reversal of 460890890892 is 298098098064.

460890890892 is a `hidden beast` number, since 460 + 8 + 9 + 0 + 8 + 90 + 89 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (460890890893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7933792 + ... + 7991672.

It is an arithmetic number, because the mean of its divisors is an integer number (13182336090).

Almost surely, 2^460890890892 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 460890890892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632752132320).

460890890892 is an abundant number, since it is smaller than the sum of its proper divisors (804613373748).

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

460890890892 is a wasteful number, since it uses less digits than its factorization.

460890890892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62248 (or 62240 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 460890890892 in words is "four hundred sixty billion, eight hundred ninety million, eight hundred ninety thousand, eight hundred ninety-two".