465846784 has 160 divisors (see below), whose sum is σ = 1113678720. Its totient is φ = 192479232.

The previous prime is 465846757. The next prime is 465846791. The reversal of 465846784 is 487648564.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 2602407 + ... + 2602585.

It is an arithmetic number, because the mean of its divisors is an integer number (6960492).

Almost surely, 2^465846784 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 465846784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556839360).

465846784 is an abundant number, since it is smaller than the sum of its proper divisors (647831936).

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

465846784 is a wasteful number, since it uses less digits than its factorization.

465846784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 52.

The square root of 465846784 is about 21583.4840561018. The cubic root of 465846784 is about 775.2010766495.

The spelling of 465846784 in words is "four hundred sixty-five million, eight hundred forty-six thousand, seven hundred eighty-four".