465740968 has 64 divisors (see below), whose sum is σ = 1091750400. Its totient is φ = 180957120.

The previous prime is 465740963. The next prime is 465740981. The reversal of 465740968 is 869047564.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (465740963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286863 + ... + 288481.

It is an arithmetic number, because the mean of its divisors is an integer number (17058600).

Almost surely, 2^465740968 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 465740968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545875200).

465740968 is an abundant number, since it is smaller than the sum of its proper divisors (626009432).

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

465740968 is a wasteful number, since it uses less digits than its factorization.

465740968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The square root of 465740968 is about 21581.0325980941. The cubic root of 465740968 is about 775.1423771718.

The spelling of 465740968 in words is "four hundred sixty-five million, seven hundred forty thousand, nine hundred sixty-eight".