478252813077 has 120 divisors (see below), whose sum is σ = 799146227880. Its totient is φ = 283335252480.

The previous prime is 478252813001. The next prime is 478252813079. The reversal of 478252813077 is 770318252874.

478252813077 is a `hidden beast` number, since 4 + 7 + 8 + 252 + 81 + 307 + 7 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 45550657476 + 432702155601 = 213426^2 + 657801^2 .

It is not a de Polignac number, because 478252813077 - 2¹² = 478252808981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478252813079) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 450756127 + ... + 450757187.

It is an arithmetic number, because the mean of its divisors is an integer number (6659551899).

Almost surely, 2^478252813077 is an apocalyptic number.

It is an amenable number.

478252813077 is a deficient number, since it is larger than the sum of its proper divisors (320893414803).

478252813077 is a wasteful number, since it uses less digits than its factorization.

478252813077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 478252813077 in words is "four hundred seventy-eight billion, two hundred fifty-two million, eight hundred thirteen thousand, seventy-seven".