465506480 has 40 divisors (see below), whose sum is σ = 1083201504. Its totient is φ = 186048000.

The previous prime is 465506477. The next prime is 465506527. The reversal of 465506480 is 84605564.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181205 + ... + 183755.

Almost surely, 2^465506480 is an apocalyptic number.

465506480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465506480 is an abundant number, since it is smaller than the sum of its proper divisors (617695024).

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

465506480 is a wasteful number, since it uses less digits than its factorization.

465506480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 465506480 is about 21575.5991805558. The cubic root of 465506480 is about 775.0122675824.

The spelling of 465506480 in words is "four hundred sixty-five million, five hundred six thousand, four hundred eighty".