477317880 has 128 divisors (see below), whose sum is σ = 1713499200. Its totient is φ = 117490176.

The previous prime is 477317851. The next prime is 477317887. The reversal of 477317880 is 88713774.

It is a happy number.

477317880 is a `hidden beast` number, since 477 + 3 + 178 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477317887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2959 + ... + 31038.

Almost surely, 2^477317880 is an apocalyptic number.

477317880 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 477317880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856749600).

477317880 is an abundant number, since it is smaller than the sum of its proper divisors (1236181320).

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

477317880 is a wasteful number, since it uses less digits than its factorization.

477317880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34030 (or 34020 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 477317880 is about 21847.6058184873. The cubic root of 477317880 is about 781.5124500210.

It can be divided in two parts, 47731 and 7880, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 477317880 in words is "four hundred seventy-seven million, three hundred seventeen thousand, eight hundred eighty".