477225420800 has 324 divisors, whose sum is σ = 1228689103005. Its totient is φ = 183824793600.

The previous prime is 477225420787. The next prime is 477225420827. The reversal of 477225420800 is 8024522774.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 467680912384 + 9544508416 = 683872^2 + 97696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=488480.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6721484765 + ... + 6721484835.

Almost surely, 2^477225420800 is an apocalyptic number.

477225420800 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 477225420800

477225420800 is an abundant number, since it is smaller than the sum of its proper divisors (751463682205).

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

477225420800 is an frugal number, since it uses more digits than its factorization.

477225420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 41.

The spelling of 477225420800 in words is "four hundred seventy-seven billion, two hundred twenty-five million, four hundred twenty thousand, eight hundred".