460000828 has 72 divisors (see below), whose sum is σ = 992380032. Its totient is φ = 185635296.

The previous prime is 460000787. The next prime is 460000829. The reversal of 460000828 is 828000064.

It is a Harshad number since it is a multiple of its sum of digits (28).

460000828 is a modest number, since divided by 828 gives 460 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 460000796 and 460000805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460000829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301275 + ... + 302797.

It is an arithmetic number, because the mean of its divisors is an integer number (13783056).

Almost surely, 2^460000828 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 460000828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496190016).

460000828 is an abundant number, since it is smaller than the sum of its proper divisors (532379204).

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

460000828 is a wasteful number, since it uses less digits than its factorization.

460000828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 460000828 is about 21447.6298923681. The cubic root of 460000828 is about 771.9447261024.

The spelling of 460000828 in words is "four hundred sixty million, eight hundred twenty-eight", and thus it is an aban number.