460143828 has 72 divisors (see below), whose sum is σ = 1277220672. Its totient is φ = 144353664.

The previous prime is 460143823. The next prime is 460143839. The reversal of 460143828 is 828341064.

460143828 is a `hidden beast` number, since 4 + 601 + 43 + 8 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 460143792 and 460143801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460143823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2601 + ... + 30447.

It is an arithmetic number, because the mean of its divisors is an integer number (17739176).

Almost surely, 2^460143828 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 460143828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638610336).

460143828 is an abundant number, since it is smaller than the sum of its proper divisors (817076844).

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

460143828 is a wasteful number, since it uses less digits than its factorization.

460143828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27883 (or 27869 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 460143828 is about 21450.9633350113. The cubic root of 460143828 is about 772.0247090448.

The spelling of 460143828 in words is "four hundred sixty million, one hundred forty-three thousand, eight hundred twenty-eight".