465376374224 has 80 divisors (see below), whose sum is σ = 937245012480. Its totient is φ = 223616970240.

The previous prime is 465376374187. The next prime is 465376374227. The reversal of 465376374224 is 422473673564.

It is a Cunningham number, because it is equal to 682185²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465376374227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42289907 + ... + 42300909.

It is an arithmetic number, because the mean of its divisors is an integer number (11715562656).

Almost surely, 2^465376374224 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 465376374224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468622506240).

465376374224 is an abundant number, since it is smaller than the sum of its proper divisors (471868638256).

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

465376374224 is a wasteful number, since it uses less digits than its factorization.

465376374224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11628 (or 11622 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 53.

The spelling of 465376374224 in words is "four hundred sixty-five billion, three hundred seventy-six million, three hundred seventy-four thousand, two hundred twenty-four".