478397585920 has 320 divisors, whose sum is σ = 1242865451520. Its totient is φ = 176059383808.

The previous prime is 478397585917. The next prime is 478397585957. The reversal of 478397585920 is 29585793874.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858882282 + ... + 858882838.

It is an arithmetic number, because the mean of its divisors is an integer number (3883954536).

Almost surely, 2^478397585920 is an apocalyptic number.

478397585920 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 478397585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621432725760).

478397585920 is an abundant number, since it is smaller than the sum of its proper divisors (764467865600).

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

478397585920 is a wasteful number, since it uses less digits than its factorization.

478397585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 67.

The spelling of 478397585920 in words is "four hundred seventy-eight billion, three hundred ninety-seven million, five hundred eighty-five thousand, nine hundred twenty".