479515352869920 has 384 divisors, whose sum is σ = 1578893504348160. Its totient is φ = 122098075545600.

The previous prime is 479515352869913. The next prime is 479515352869937. The reversal of 479515352869920 is 29968253515974.

It is a Cunningham number, because it is equal to 21897839²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30700763871 + ... + 30700779489.

It is an arithmetic number, because the mean of its divisors is an integer number (4111701834240).

It is a 1-persistent number, because it is pandigital, but 2⋅479515352869920 = 959030705739840 is not.

Almost surely, 2^{479515352869920} is an apocalyptic number.

479515352869920 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 479515352869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789446752174080).

479515352869920 is an abundant number, since it is smaller than the sum of its proper divisors (1099378151478240).

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

479515352869920 is a wasteful number, since it uses less digits than its factorization.

479515352869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20328 (or 20320 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 75.

The spelling of 479515352869920 in words is "four hundred seventy-nine trillion, five hundred fifteen billion, three hundred fifty-two million, eight hundred sixty-nine thousand, nine hundred twenty".