460986528 has 96 divisors (see below), whose sum is σ = 1254113280. Its totient is φ = 148171520.

The previous prime is 460986521. The next prime is 460986553. The reversal of 460986528 is 825689064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (460986521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 319633 + ... + 321071.

It is an arithmetic number, because the mean of its divisors is an integer number (13063680).

Almost surely, 2^460986528 is an apocalyptic number.

460986528 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 460986528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

460986528 is an abundant number, since it is smaller than the sum of its proper divisors (793126752).

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

460986528 is a wasteful number, since it uses less digits than its factorization.

460986528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 460986528 is about 21470.5968244947. The cubic root of 460986528 is about 772.4957128405.

The spelling of 460986528 in words is "four hundred sixty million, nine hundred eighty-six thousand, five hundred twenty-eight".