478476288000 has 960 divisors, whose sum is σ = 1876998614400. Its totient is φ = 119852236800.

The previous prime is 478476287999. The next prime is 478476288083. The reversal of 478476288000 is 882674874.

It is a happy number.

478476288000 is a `hidden beast` number, since 4 + 7 + 8 + 4 + 7 + 628 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 940031746 + ... + 940032254.

It is an arithmetic number, because the mean of its divisors is an integer number (1955206890).

Almost surely, 2^478476288000 is an apocalyptic number.

478476288000 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 478476288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938499307200).

478476288000 is an abundant number, since it is smaller than the sum of its proper divisors (1398522326400).

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

478476288000 is an equidigital number, since it uses as much as digits as its factorization.

478476288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 478476288000 in words is "four hundred seventy-eight billion, four hundred seventy-six million, two hundred eighty-eight thousand".