478302720 has 480 divisors, whose sum is σ = 1880879616. Its totient is φ = 103219200.

The previous prime is 478302707. The next prime is 478302763. The reversal of 478302720 is 27203874.

It is a tau number, because it is divible by the number of its divisors (480).

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, 11665900 + ... + 11665940.

Almost surely, 2^478302720 is an apocalyptic number.

478302720 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 478302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940439808).

478302720 is an abundant number, since it is smaller than the sum of its proper divisors (1402576896).

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

478302720 is a wasteful number, since it uses less digits than its factorization.

478302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 478302720 is about 21870.1330585801. The cubic root of 478302720 is about 782.0495735433.

The spelling of 478302720 in words is "four hundred seventy-eight million, three hundred two thousand, seven hundred twenty".