465354004764 has 96 divisors (see below), whose sum is σ = 1198623444480. Its totient is φ = 139346438400.

The previous prime is 465354004763. The next prime is 465354004789. The reversal of 465354004764 is 467400453564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465354004763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5323369 + ... + 5410079.

It is an arithmetic number, because the mean of its divisors is an integer number (12485660880).

Almost surely, 2^465354004764 is an apocalyptic number.

465354004764 is a gapful number since it is divisible by the number (44) 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 465354004764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599311722240).

465354004764 is an abundant number, since it is smaller than the sum of its proper divisors (733269439716).

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

465354004764 is a wasteful number, since it uses less digits than its factorization.

465354004764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87211 (or 87209 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 465354004764 in words is "four hundred sixty-five billion, three hundred fifty-four million, four thousand, seven hundred sixty-four".