480435608448 has 160 divisors (see below), whose sum is σ = 1513873175760. Its totient is φ = 150724841472.

The previous prime is 480435608437. The next prime is 480435608507. The reversal of 480435608448 is 844806534084.

It is a happy number.

480435608448 is a `hidden beast` number, since 480 + 43 + 5 + 6 + 0 + 84 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 480435608394 and 480435608403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1186636 + ... + 1539147.

Almost surely, 2^480435608448 is an apocalyptic number.

480435608448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480435608448 is an abundant number, since it is smaller than the sum of its proper divisors (1033437567312).

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

480435608448 is a wasteful number, since it uses less digits than its factorization.

480435608448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725826 (or 2725805 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 480435608448 in words is "four hundred eighty billion, four hundred thirty-five million, six hundred eight thousand, four hundred forty-eight".