505479170304 has 180 divisors, whose sum is σ = 1510275102336. Its totient is φ = 168154610688.

The previous prime is 505479170303. The next prime is 505479170309. The reversal of 505479170304 is 403071974505.

505479170304 is a `hidden beast` number, since 5 + 0 + 5 + 479 + 170 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×505479170304² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505479170304.

It is not an unprimeable number, because it can be changed into a prime (505479170303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10405977 + ... + 10454439.

Almost surely, 2^505479170304 is an apocalyptic number.

505479170304 is a gapful number since it is divisible by the number (54) 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 505479170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755137551168).

505479170304 is an abundant number, since it is smaller than the sum of its proper divisors (1004795932032).

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

505479170304 is an equidigital number, since it uses as much as digits as its factorization.

505479170304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48994 (or 48971 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 505479170304 in words is "five hundred five billion, four hundred seventy-nine million, one hundred seventy thousand, three hundred four".