460141886000 has 160 divisors (see below), whose sum is σ = 1174141725120. Its totient is φ = 173928960000.

The previous prime is 460141885997. The next prime is 460141886033. The reversal of 460141886000 is 688141064.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15222902 + ... + 15253098.

It is an arithmetic number, because the mean of its divisors is an integer number (7338385782).

Almost surely, 2^460141886000 is an apocalyptic number.

460141886000 is a gapful number since it is divisible by the number (40) 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 460141886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587070862560).

460141886000 is an abundant number, since it is smaller than the sum of its proper divisors (713999839120).

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

460141886000 is a wasteful number, since it uses less digits than its factorization.

460141886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30640 (or 30624 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 460141886000 in words is "four hundred sixty billion, one hundred forty-one million, eight hundred eighty-six thousand".