477763840 has 72 divisors (see below), whose sum is σ = 1153797120. Its totient is φ = 189536256.

The previous prime is 477763823. The next prime is 477763859. The reversal of 477763840 is 48367774.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161091 + ... + 164029.

It is an arithmetic number, because the mean of its divisors is an integer number (16024960).

Almost surely, 2^477763840 is an apocalyptic number.

477763840 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 477763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576898560).

477763840 is an abundant number, since it is smaller than the sum of its proper divisors (676033280).

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

477763840 is a wasteful number, since it uses less digits than its factorization.

477763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The square root of 477763840 is about 21857.8095883371. The cubic root of 477763840 is about 781.7557643271.

The spelling of 477763840 in words is "four hundred seventy-seven million, seven hundred sixty-three thousand, eight hundred forty".