480442592448 has 672 divisors, whose sum is σ = 1728552938112. Its totient is φ = 124216934400.

The previous prime is 480442592339. The next prime is 480442592477. The reversal of 480442592448 is 844295244084.

480442592448 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 4 + 2 + 592 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 480442592394 and 480442592403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 922154428 + ... + 922154948.

It is an arithmetic number, because the mean of its divisors is an integer number (2572251396).

Almost surely, 2^480442592448 is an apocalyptic number.

480442592448 is a gapful number since it is divisible by the number (48) 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 480442592448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864276469056).

480442592448 is an abundant number, since it is smaller than the sum of its proper divisors (1248110345664).

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

480442592448 is a wasteful number, since it uses less digits than its factorization.

480442592448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

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

The spelling of 480442592448 in words is "four hundred eighty billion, four hundred forty-two million, five hundred ninety-two thousand, four hundred forty-eight".