477877680 has 240 divisors, whose sum is σ = 1869791040. Its totient is φ = 107108352.

The previous prime is 477877669. The next prime is 477877709. The reversal of 477877680 is 86778774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 266226 + ... + 268014.

It is an arithmetic number, because the mean of its divisors is an integer number (7790796).

Almost surely, 2^477877680 is an apocalyptic number.

477877680 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 477877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934895520).

477877680 is an abundant number, since it is smaller than the sum of its proper divisors (1391913360).

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

477877680 is a wasteful number, since it uses less digits than its factorization.

477877680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The square root of 477877680 is about 21860.4135368021. The cubic root of 477877680 is about 781.8178507955.

The spelling of 477877680 in words is "four hundred seventy-seven million, eight hundred seventy-seven thousand, six hundred eighty".