465485580 has 144 divisors (see below), whose sum is σ = 1633492224. Its totient is φ = 105091200.

The previous prime is 465485543. The next prime is 465485593. The reversal of 465485580 is 85584564.

465485580 is a `hidden beast` number, since 4 + 65 + 4 + 8 + 5 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102355 + ... + 106805.

It is an arithmetic number, because the mean of its divisors is an integer number (11343696).

Almost surely, 2^465485580 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 465485580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816746112).

465485580 is an abundant number, since it is smaller than the sum of its proper divisors (1168006644).

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

465485580 is a wasteful number, since it uses less digits than its factorization.

465485580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 465485580 is about 21575.1148316759. The cubic root of 465485580 is about 775.0006687473. Note that the first 3 decimals are identical.

The spelling of 465485580 in words is "four hundred sixty-five million, four hundred eighty-five thousand, five hundred eighty".