478511953920 has 3456 divisors, whose sum is σ = 2460380832000. Its totient is φ = 86951854080.

The previous prime is 478511953891. The next prime is 478511953961. The reversal of 478511953920 is 29359115874.

It is a happy number.

478511953920 is a `hidden beast` number, since 4 + 7 + 8 + 511 + 95 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25184839671 + ... + 25184839689.

It is an arithmetic number, because the mean of its divisors is an integer number (711915750).

Almost surely, 2^478511953920 is an apocalyptic number.

478511953920 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 478511953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230190416000).

478511953920 is an abundant number, since it is smaller than the sum of its proper divisors (1981868878080).

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

478511953920 is a wasteful number, since it uses less digits than its factorization.

478511953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 478511953920 in words is "four hundred seventy-eight billion, five hundred eleven million, nine hundred fifty-three thousand, nine hundred twenty".