478428216009408 has 448 divisors, whose sum is σ = 1662823378944000. Its totient is φ = 132000987018240.

The previous prime is 478428216009389. The next prime is 478428216009451. The reversal of 478428216009408 is 804900612824874.

478428216009408 is a `hidden beast` number, since 4 + 7 + 8 + 4 + 2 + 8 + 216 + 0 + 0 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×478428216009408² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173747743 + ... + 176479841.

It is an arithmetic number, because the mean of its divisors is an integer number (3711659328000).

Almost surely, 2^{478428216009408} is an apocalyptic number.

478428216009408 is a gapful number since it is divisible by the number (48) 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 478428216009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831411689472000).

478428216009408 is an abundant number, since it is smaller than the sum of its proper divisors (1184395162934592).

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

478428216009408 is a wasteful number, since it uses less digits than its factorization.

478428216009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732625 (or 2732609 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 478428216009408 in words is "four hundred seventy-eight trillion, four hundred twenty-eight billion, two hundred sixteen million, nine thousand, four hundred eight".