479826628974 has 192 divisors, whose sum is σ = 1416672571392. Its totient is φ = 113515084800.

The previous prime is 479826628969. The next prime is 479826628979.

479826628974 is a `hidden beast` number, since 479 + 8 + 2 + 6 + 6 + 2 + 89 + 74 = 666.

479826628974 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (479826628969) and next prime (479826628979).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479826628979) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401964 + ... + 1058880.

It is an arithmetic number, because the mean of its divisors is an integer number (7378502976).

Almost surely, 2^479826628974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479826628974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708336285696).

479826628974 is an abundant number, since it is smaller than the sum of its proper divisors (936845942418).

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

479826628974 is a wasteful number, since it uses less digits than its factorization.

479826628974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656991 (or 656988 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 479826628974 in words is "four hundred seventy-nine billion, eight hundred twenty-six million, six hundred twenty-eight thousand, nine hundred seventy-four".