478302088320 has 1024 divisors, whose sum is σ = 2063887257600. Its totient is φ = 102192316416.

The previous prime is 478302088289. The next prime is 478302088361. The reversal of 478302088320 is 23880203874.

478302088320 is a `hidden beast` number, since 47 + 83 + 0 + 208 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 335179447 + ... + 335180873.

It is an arithmetic number, because the mean of its divisors is an integer number (2015514900).

Almost surely, 2^478302088320 is an apocalyptic number.

478302088320 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 478302088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031943628800).

478302088320 is an abundant number, since it is smaller than the sum of its proper divisors (1585585169280).

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

478302088320 is a wasteful number, since it uses less digits than its factorization.

478302088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 478302088320 in words is "four hundred seventy-eight billion, three hundred two million, eighty-eight thousand, three hundred twenty".