480077424 has 60 divisors (see below), whose sum is σ = 1345052800. Its totient is φ = 159846912.

The previous prime is 480077359. The next prime is 480077431. The reversal of 480077424 is 424770084.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213297 + ... + 215535.

Almost surely, 2^480077424 is an apocalyptic number.

It is an amenable number.

480077424 is an abundant number, since it is smaller than the sum of its proper divisors (864975376).

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

480077424 is a wasteful number, since it uses less digits than its factorization.

480077424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 480077424 is about 21910.6691819305. The cubic root of 480077424 is about 783.0156238472.

The spelling of 480077424 in words is "four hundred eighty million, seventy-seven thousand, four hundred twenty-four".