478470125952 has 2304 divisors, whose sum is σ = 1991011276800. Its totient is φ = 112870195200.

The previous prime is 478470125923. The next prime is 478470125953. The reversal of 478470125952 is 259521074874.

478470125952 is a `hidden beast` number, since 4 + 7 + 8 + 47 + 0 + 1 + 2 + 595 + 2 = 666.

It is a super-2 number, since 2×478470125952² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478470125953) 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 287 ways as a sum of consecutive naturals, for example, 11670003052 + ... + 11670003092.

It is an arithmetic number, because the mean of its divisors is an integer number (864154200).

Almost surely, 2^478470125952 is an apocalyptic number.

478470125952 is a gapful number since it is divisible by the number (42) 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 478470125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995505638400).

478470125952 is an abundant number, since it is smaller than the sum of its proper divisors (1512541150848).

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

478470125952 is a wasteful number, since it uses less digits than its factorization.

478470125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 478470125952 in words is "four hundred seventy-eight billion, four hundred seventy million, one hundred twenty-five thousand, nine hundred fifty-two".