480409632 has 36 divisors (see below), whose sum is σ = 1366165710. Its totient is φ = 160136448.

The previous prime is 480409583. The next prime is 480409639. The reversal of 480409632 is 236904084.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 442513296 + 37896336 = 21036^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (480409639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 833757 + ... + 834332.

Almost surely, 2^480409632 is an apocalyptic number.

It is an amenable number.

480409632 is an abundant number, since it is smaller than the sum of its proper divisors (885756078).

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

480409632 is a wasteful number, since it uses less digits than its factorization.

480409632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668105 (or 1668094 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 480409632 is about 21918.2488351602. The cubic root of 480409632 is about 783.1961947742.

The spelling of 480409632 in words is "four hundred eighty million, four hundred nine thousand, six hundred thirty-two".