460485216 has 96 divisors (see below), whose sum is σ = 1413820800. Its totient is φ = 145411200.

The previous prime is 460485209. The next prime is 460485257. The reversal of 460485216 is 612584064.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391 + ... + 30441.

It is an arithmetic number, because the mean of its divisors is an integer number (14727300).

Almost surely, 2^460485216 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 460485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706910400).

460485216 is an abundant number, since it is smaller than the sum of its proper divisors (953335584).

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

460485216 is a wasteful number, since it uses less digits than its factorization.

460485216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28089 (or 28075 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 460485216 is about 21458.9192644923. The cubic root of 460485216 is about 772.2155876371.

The spelling of 460485216 in words is "four hundred sixty million, four hundred eighty-five thousand, two hundred sixteen".