460132143408 has 480 divisors, whose sum is σ = 1611079741440. Its totient is φ = 119628472320.

The previous prime is 460132143379. The next prime is 460132143413. The reversal of 460132143408 is 804341231064.

460132143408 is a `hidden beast` number, since 4 + 601 + 3 + 2 + 1 + 4 + 3 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81335716 + ... + 81341372.

It is an arithmetic number, because the mean of its divisors is an integer number (3356416128).

Almost surely, 2^460132143408 is an apocalyptic number.

460132143408 is a gapful number since it is divisible by the number (48) 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 460132143408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805539870720).

460132143408 is an abundant number, since it is smaller than the sum of its proper divisors (1150947598032).

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

460132143408 is a wasteful number, since it uses less digits than its factorization.

460132143408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 460132143408 in words is "four hundred sixty billion, one hundred thirty-two million, one hundred forty-three thousand, four hundred eight".