477816 has 32 divisors (see below), whose sum is σ = 1224960. Its totient is φ = 155232.

The previous prime is 477811. The next prime is 477821. The reversal of 477816 is 618774.

It is an interprime number because it is at equal distance from previous prime (477811) and next prime (477821).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477816.

It is not an unprimeable number, because it can be changed into a prime (477811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (38280).

2⁴⁷⁷⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612480).

477816 is an abundant number, since it is smaller than the sum of its proper divisors (747144).

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

477816 is a wasteful number, since it uses less digits than its factorization.

477816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 477816 is about 691.2423598131. The cubic root of 477816 is about 78.1784212759.

The spelling of 477816 in words is "four hundred seventy-seven thousand, eight hundred sixteen".