478721760 has 192 divisors, whose sum is σ = 1669538304. Its totient is φ = 114329600.

The previous prime is 478721753. The next prime is 478721783. The reversal of 478721760 is 67127874.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374242 + ... + 375518.

It is an arithmetic number, because the mean of its divisors is an integer number (8695512).

Almost surely, 2^478721760 is an apocalyptic number.

478721760 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 478721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834769152).

478721760 is an abundant number, since it is smaller than the sum of its proper divisors (1190816544).

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

478721760 is a wasteful number, since it uses less digits than its factorization.

478721760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 478721760 is about 21879.7111498301. The cubic root of 478721760 is about 782.2778908719.

The spelling of 478721760 in words is "four hundred seventy-eight million, seven hundred twenty-one thousand, seven hundred sixty".