465768336 has 80 divisors (see below), whose sum is σ = 1324825920. Its totient is φ = 139829760.

The previous prime is 465768313. The next prime is 465768343. The reversal of 465768336 is 633867564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 53506 + ... + 61598.

It is an arithmetic number, because the mean of its divisors is an integer number (16560324).

Almost surely, 2^465768336 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 465768336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662412960).

465768336 is an abundant number, since it is smaller than the sum of its proper divisors (859057584).

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

465768336 is a wasteful number, since it uses less digits than its factorization.

465768336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 8218 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 465768336 is about 21581.6666640925. Note that the first 5 decimals coincide. The cubic root of 465768336 is about 775.1575599182.

The spelling of 465768336 in words is "four hundred sixty-five million, seven hundred sixty-eight thousand, three hundred thirty-six".