478522080 has 120 divisors (see below), whose sum is σ = 1688829912. Its totient is φ = 127602432.

The previous prime is 478522067. The next prime is 478522091. The reversal of 478522080 is 80225874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 5502 + ... + 31421.

Almost surely, 2^478522080 is an apocalyptic number.

478522080 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 478522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844414956).

478522080 is an abundant number, since it is smaller than the sum of its proper divisors (1210307832).

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

478522080 is a wasteful number, since it uses less digits than its factorization.

478522080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36950 (or 36933 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 478522080 is about 21875.1475423596. The cubic root of 478522080 is about 782.1691102359.

The spelling of 478522080 in words is "four hundred seventy-eight million, five hundred twenty-two thousand, eighty".