465107456 has 80 divisors (see below), whose sum is σ = 1020872160. Its totient is φ = 209940480.

The previous prime is 465107453. The next prime is 465107491. The reversal of 465107456 is 654701564.

It is not an unprimeable number, because it can be changed into a prime (465107453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1514855 + ... + 1515161.

It is an arithmetic number, because the mean of its divisors is an integer number (12760902).

Almost surely, 2^465107456 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 465107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510436080).

465107456 is an abundant number, since it is smaller than the sum of its proper divisors (555764704).

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

465107456 is a wasteful number, since it uses less digits than its factorization.

465107456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 465107456 is about 21566.3500852601. The cubic root of 465107456 is about 774.7907619670.

The spelling of 465107456 in words is "four hundred sixty-five million, one hundred seven thousand, four hundred fifty-six".