460628840 has 64 divisors (see below), whose sum is σ = 1188950400. Its totient is φ = 157333248.

The previous prime is 460628827. The next prime is 460628849. The reversal of 460628840 is 48826064.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 460628794 and 460628803.

It is not an unprimeable number, because it can be changed into a prime (460628849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74591 + ... + 80529.

It is an arithmetic number, because the mean of its divisors is an integer number (18577350).

Almost surely, 2^460628840 is an apocalyptic number.

460628840 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 460628840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594475200).

460628840 is an abundant number, since it is smaller than the sum of its proper divisors (728321560).

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

460628840 is a wasteful number, since it uses less digits than its factorization.

460628840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 460628840 is about 21462.2654908563. The cubic root of 460628840 is about 772.2958632239.

The spelling of 460628840 in words is "four hundred sixty million, six hundred twenty-eight thousand, eight hundred forty".