460216442880 has 1120 divisors, whose sum is σ = 1778970466944. Its totient is φ = 113515167744.

The previous prime is 460216442813. The next prime is 460216442927. The reversal of 460216442880 is 88244612064.

460216442880 is a `hidden beast` number, since 4 + 6 + 0 + 216 + 4 + 428 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2823413679 + ... + 2823413841.

Almost surely, 2^460216442880 is an apocalyptic number.

460216442880 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 460216442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889485233472).

460216442880 is an abundant number, since it is smaller than the sum of its proper divisors (1318754024064).

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

460216442880 is a wasteful number, since it uses less digits than its factorization.

460216442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 460216442880 in words is "four hundred sixty billion, two hundred sixteen million, four hundred forty-two thousand, eight hundred eighty".