477897900480 has 2240 divisors, whose sum is σ = 2316798747648. Its totient is φ = 90296156160.

The previous prime is 477897900461. The next prime is 477897900503. The reversal of 477897900480 is 84009798774.

It is a happy number.

477897900480 is a `hidden beast` number, since 4 + 7 + 7 + 89 + 79 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2931888879 + ... + 2931889041.

Almost surely, 2^477897900480 is an apocalyptic number.

477897900480 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 477897900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158399373824).

477897900480 is an abundant number, since it is smaller than the sum of its proper divisors (1838900847168).

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

477897900480 is a wasteful number, since it uses less digits than its factorization.

477897900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 477897900480 in words is "four hundred seventy-seven billion, eight hundred ninety-seven million, nine hundred thousand, four hundred eighty".