477228386880 has 560 divisors, whose sum is σ = 2042222666880. Its totient is φ = 103338934272.

The previous prime is 477228386863. The next prime is 477228386891. The reversal of 477228386880 is 88683822774.

477228386880 is a `hidden beast` number, since 477 + 2 + 2 + 8 + 3 + 86 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×477228386880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3378144 + ... + 3516576.

Almost surely, 2^477228386880 is an apocalyptic number.

477228386880 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 477228386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021111333440).

477228386880 is an abundant number, since it is smaller than the sum of its proper divisors (1564994280000).

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

477228386880 is a wasteful number, since it uses less digits than its factorization.

477228386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138488 (or 138469 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 477228386880 in words is "four hundred seventy-seven billion, two hundred twenty-eight million, three hundred eighty-six thousand, eight hundred eighty".