465327480 has 128 divisors (see below), whose sum is σ = 1476000000. Its totient is φ = 117033984.

The previous prime is 465327479. The next prime is 465327481. The reversal of 465327480 is 84723564.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (465327479) and next prime (465327481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465327481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932271 + ... + 932769.

It is an arithmetic number, because the mean of its divisors is an integer number (11531250).

Almost surely, 2^465327480 is an apocalyptic number.

465327480 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 465327480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738000000).

465327480 is an abundant number, since it is smaller than the sum of its proper divisors (1010672520).

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

465327480 is a wasteful number, since it uses less digits than its factorization.

465327480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 465327480 is about 21571.4505770938. The cubic root of 465327480 is about 774.9129170276.

The spelling of 465327480 in words is "four hundred sixty-five million, three hundred twenty-seven thousand, four hundred eighty".