479539450368 has 960 divisors, whose sum is σ = 1647254568960. Its totient is φ = 137952460800.

The previous prime is 479539450367. The next prime is 479539450373. The reversal of 479539450368 is 863054935974.

479539450368 is a `hidden beast` number, since 4 + 7 + 95 + 39 + 4 + 503 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (479539450361) 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, 3775901121 + ... + 3775901247.

It is an arithmetic number, because the mean of its divisors is an integer number (1715890176).

Almost surely, 2^479539450368 is an apocalyptic number.

479539450368 is a gapful number since it is divisible by the number (48) 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 479539450368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823627284480).

479539450368 is an abundant number, since it is smaller than the sum of its proper divisors (1167715118592).

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

479539450368 is a wasteful number, since it uses less digits than its factorization.

479539450368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 479539450368 in words is "four hundred seventy-nine billion, five hundred thirty-nine million, four hundred fifty thousand, three hundred sixty-eight".