480544704 has 224 divisors, whose sum is σ = 1501079040. Its totient is φ = 150441984.

The previous prime is 480544697. The next prime is 480544739. The reversal of 480544704 is 407445084.

480544704 is a `hidden beast` number, since 48 + 0 + 544 + 70 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4252552 + ... + 4252664.

Almost surely, 2^480544704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480544704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750539520).

480544704 is an abundant number, since it is smaller than the sum of its proper divisors (1020534336).

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

480544704 is a wasteful number, since it uses less digits than its factorization.

480544704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 480544704 is about 21921.3298866652. The cubic root of 480544704 is about 783.2695890587.

Adding to 480544704 its reverse (407445084), we get a palindrome (887989788).

The spelling of 480544704 in words is "four hundred eighty million, five hundred forty-four thousand, seven hundred four".