478311305472 has 1152 divisors, whose sum is σ = 1927170846720. Its totient is φ = 112989634560.

The previous prime is 478311305471. The next prime is 478311305501. The reversal of 478311305472 is 274503113874.

478311305472 is a `hidden beast` number, since 4 + 78 + 3 + 1 + 1 + 30 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (478311305471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505080103 + ... + 505081049.

It is an arithmetic number, because the mean of its divisors is an integer number (1672891360).

Almost surely, 2^478311305472 is an apocalyptic number.

478311305472 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 478311305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963585423360).

478311305472 is an abundant number, since it is smaller than the sum of its proper divisors (1448859541248).

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

478311305472 is a wasteful number, since it uses less digits than its factorization.

478311305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 478311305472 in words is "four hundred seventy-eight billion, three hundred eleven million, three hundred five thousand, four hundred seventy-two".