478255308840 has 192 divisors, whose sum is σ = 1622346935040. Its totient is φ = 121956848640.

The previous prime is 478255308833. The next prime is 478255308841. The reversal of 478255308840 is 48803552874.

478255308840 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 553 + 0 + 8 + 84 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (478255308841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50279685 + ... + 50289195.

It is an arithmetic number, because the mean of its divisors is an integer number (8449723620).

Almost surely, 2^478255308840 is an apocalyptic number.

478255308840 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 478255308840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811173467520).

478255308840 is an abundant number, since it is smaller than the sum of its proper divisors (1144091626200).

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

478255308840 is a wasteful number, since it uses less digits than its factorization.

478255308840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15624 (or 15617 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 478255308840 in words is "four hundred seventy-eight billion, two hundred fifty-five million, three hundred eight thousand, eight hundred forty".