478305797040 has 1200 divisors, whose sum is σ = 1850598161280. Its totient is φ = 114383093760.

The previous prime is 478305797033. The next prime is 478305797077. The reversal of 478305797040 is 40797503874.

478305797040 is a `hidden beast` number, since 478 + 30 + 5 + 79 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6054503721 + ... + 6054503799.

Almost surely, 2^478305797040 is an apocalyptic number.

478305797040 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 478305797040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925299080640).

478305797040 is an abundant number, since it is smaller than the sum of its proper divisors (1372292364240).

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

478305797040 is a wasteful number, since it uses less digits than its factorization.

478305797040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 478305797040 in words is "four hundred seventy-eight billion, three hundred five million, seven hundred ninety-seven thousand, forty".