478250282880 has 1536 divisors, whose sum is σ = 1950378393600. Its totient is φ = 111347343360.

The previous prime is 478250282837. The next prime is 478250282977. The reversal of 478250282880 is 88282052874.

478250282880 is a `hidden beast` number, since 478 + 2 + 50 + 28 + 28 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2106829327 + ... + 2106829553.

It is an arithmetic number, because the mean of its divisors is an integer number (1269777600).

Almost surely, 2^478250282880 is an apocalyptic number.

478250282880 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 478250282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975189196800).

478250282880 is an abundant number, since it is smaller than the sum of its proper divisors (1472128110720).

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

478250282880 is a wasteful number, since it uses less digits than its factorization.

478250282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 478250282880 in words is "four hundred seventy-eight billion, two hundred fifty million, two hundred eighty-two thousand, eight hundred eighty".