478536960 has 144 divisors (see below), whose sum is σ = 1667413440. Its totient is φ = 115998720.

The previous prime is 478536931. The next prime is 478536979. The reversal of 478536960 is 69635874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36576 + ... + 47904.

It is an arithmetic number, because the mean of its divisors is an integer number (11579260).

Almost surely, 2^478536960 is an apocalyptic number.

478536960 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 478536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833706720).

478536960 is an abundant number, since it is smaller than the sum of its proper divisors (1188876480).

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

478536960 is a wasteful number, since it uses less digits than its factorization.

478536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 478536960 is about 21875.4876517073. The cubic root of 478536960 is about 782.1772175286.

The spelling of 478536960 in words is "four hundred seventy-eight million, five hundred thirty-six thousand, nine hundred sixty".