4959478080 has 336 divisors, whose sum is σ = 17695523664. Its totient is φ = 1274019840.

The previous prime is 4959478079. The next prime is 4959478133. The reversal of 4959478080 is 808749594.

4959478080 is a `hidden beast` number, since 4 + 95 + 9 + 478 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1583403264 + 3376074816 = 39792^2 + 58104^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11453544 + ... + 11453976.

It is an arithmetic number, because the mean of its divisors is an integer number (52665249).

Almost surely, 2^4959478080 is an apocalyptic number.

4959478080 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 4959478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847761832).

4959478080 is an abundant number, since it is smaller than the sum of its proper divisors (12736045584).

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

4959478080 is a wasteful number, since it uses less digits than its factorization.

4959478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4959478080 is about 70423.5619661488. The cubic root of 4959478080 is about 1705.3439770615.

The spelling of 4959478080 in words is "four billion, nine hundred fifty-nine million, four hundred seventy-eight thousand, eighty".