479952936360 has 256 divisors, whose sum is σ = 1613880576000. Its totient is φ = 126869483520.

The previous prime is 479952936289. The next prime is 479952936361. The reversal of 479952936360 is 63639259974.

479952936360 is a `hidden beast` number, since 4 + 79 + 9 + 529 + 3 + 6 + 36 + 0 = 666.

It is a super-2 number, since 2×479952936360² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (479952936361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58038306 + ... + 58046574.

It is an arithmetic number, because the mean of its divisors is an integer number (6304221000).

Almost surely, 2^479952936360 is an apocalyptic number.

479952936360 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 479952936360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806940288000).

479952936360 is an abundant number, since it is smaller than the sum of its proper divisors (1133927639640).

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

479952936360 is a wasteful number, since it uses less digits than its factorization.

479952936360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8753 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 479952936360 in words is "four hundred seventy-nine billion, nine hundred fifty-two million, nine hundred thirty-six thousand, three hundred sixty".