478509394752 has 392 divisors, whose sum is σ = 1517898285000. Its totient is φ = 149076246528.

The previous prime is 478509394711. The next prime is 478509394757. The reversal of 478509394752 is 257493905874.

478509394752 is a `hidden beast` number, since 4 + 7 + 8 + 509 + 39 + 47 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16740219456 + 461769175296 = 129384^2 + 679536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 478509394752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478509394757) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 118177624 + ... + 118181672.

Almost surely, 2^478509394752 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 478509394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758949142500).

478509394752 is an abundant number, since it is smaller than the sum of its proper divisors (1039388890248).

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

478509394752 is a wasteful number, since it uses less digits than its factorization.

478509394752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 478509394752 in words is "four hundred seventy-eight billion, five hundred nine million, three hundred ninety-four thousand, seven hundred fifty-two".