460806528 has 128 divisors (see below), whose sum is σ = 1506597120. Its totient is φ = 121522176.

The previous prime is 460806527. The next prime is 460806529. The reversal of 460806528 is 825608064.

It is an interprime number because it is at equal distance from previous prime (460806527) and next prime (460806529).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460806527) 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, 28351 + ... + 41537.

It is an arithmetic number, because the mean of its divisors is an integer number (11770290).

Almost surely, 2^460806528 is an apocalyptic number.

460806528 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 460806528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753298560).

460806528 is an abundant number, since it is smaller than the sum of its proper divisors (1045790592).

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

460806528 is a wasteful number, since it uses less digits than its factorization.

460806528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13224 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 460806528 is about 21466.4046360819. The cubic root of 460806528 is about 772.3951550716.

The spelling of 460806528 in words is "four hundred sixty million, eight hundred six thousand, five hundred twenty-eight".