479598336000 has 1152 divisors, whose sum is σ = 1999496378880. Its totient is φ = 108306432000.

The previous prime is 479598335969. The next prime is 479598336013. The reversal of 479598336000 is 633895974.

479598336000 is a `hidden beast` number, since 47 + 9 + 598 + 3 + 3 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2112767887 + ... + 2112768113.

It is an arithmetic number, because the mean of its divisors is an integer number (1735673940).

Almost surely, 2^479598336000 is an apocalyptic number.

479598336000 is a gapful number since it is divisible by the number (40) 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 479598336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999748189440).

479598336000 is an abundant number, since it is smaller than the sum of its proper divisors (1519898042880).

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

479598336000 is a wasteful number, since it uses less digits than its factorization.

479598336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 479598336000 in words is "four hundred seventy-nine billion, five hundred ninety-eight million, three hundred thirty-six thousand".