465348480 has 256 divisors, whose sum is σ = 1606132800. Its totient is φ = 114163712.

The previous prime is 465348461. The next prime is 465348557. The reversal of 465348480 is 84843564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1729786 + ... + 1730054.

Almost surely, 2^465348480 is an apocalyptic number.

465348480 is a gapful number since it is divisible by the number (40) 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 465348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803066400).

465348480 is an abundant number, since it is smaller than the sum of its proper divisors (1140784320).

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

465348480 is a wasteful number, since it uses less digits than its factorization.

465348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 465348480 is about 21571.9373260725. The cubic root of 465348480 is about 774.9245739984.

It can be divided in two parts, 4653484 and 80, that added together give a palindrome (4653564).

The spelling of 465348480 in words is "four hundred sixty-five million, three hundred forty-eight thousand, four hundred eighty".