477468288000 has 1056 divisors, whose sum is σ = 1924882202880. Its totient is φ = 112803840000.

The previous prime is 477468287999. The next prime is 477468288047. The reversal of 477468288000 is 882864774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519551541 + ... + 519552459.

Almost surely, 2^477468288000 is an apocalyptic number.

477468288000 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 477468288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962441101440).

477468288000 is an abundant number, since it is smaller than the sum of its proper divisors (1447413914880).

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

477468288000 is a wasteful number, since it uses less digits than its factorization.

477468288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 981 counting only the distinct ones).

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

The spelling of 477468288000 in words is "four hundred seventy-seven billion, four hundred sixty-eight million, two hundred eighty-eight thousand".