465884784 has 50 divisors (see below), whose sum is σ = 1348409480. Its totient is φ = 155294496.

The previous prime is 465884753. The next prime is 465884789. The reversal of 465884784 is 487488564.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 465884784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465884789) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 178444 + ... + 181035.

Almost surely, 2^465884784 is an apocalyptic number.

It is an amenable number.

465884784 is an abundant number, since it is smaller than the sum of its proper divisors (882524696).

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

465884784 is a wasteful number, since it uses less digits than its factorization.

465884784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359499 (or 359484 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 465884784 is about 21584.3643408834. The cubic root of 465884784 is about 775.2221542806. Note that the first 3 decimals are identical.

The spelling of 465884784 in words is "four hundred sixty-five million, eight hundred eighty-four thousand, seven hundred eighty-four".