465612480 has 336 divisors, whose sum is σ = 1724436480. Its totient is φ = 114960384.

The previous prime is 465612479. The next prime is 465612481. The reversal of 465612480 is 84216564.

It is an interprime number because it is at equal distance from previous prime (465612479) and next prime (465612481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (465612481) 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 47 ways as a sum of consecutive naturals, for example, 3666177 + ... + 3666303.

Almost surely, 2^465612480 is an apocalyptic number.

465612480 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 465612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862218240).

465612480 is an abundant number, since it is smaller than the sum of its proper divisors (1258824000).

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

465612480 is a wasteful number, since it uses less digits than its factorization.

465612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 465612480 is about 21578.0555194392. The cubic root of 465612480 is about 775.0710888657.

The spelling of 465612480 in words is "four hundred sixty-five million, six hundred twelve thousand, four hundred eighty".