477576 has 80 divisors (see below), whose sum is σ = 1481040. Its totient is φ = 142560.

The previous prime is 477571. The next prime is 477577. The reversal of 477576 is 675774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 477576.

It is not an unprimeable number, because it can be changed into a prime (477571) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7095 + ... + 7161.

It is an arithmetic number, because the mean of its divisors is an integer number (18513).

2⁴⁷⁷⁵⁷⁶ 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 477576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740520).

477576 is an abundant number, since it is smaller than the sum of its proper divisors (1003464).

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

477576 is a wasteful number, since it uses less digits than its factorization.

477576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 477576 is about 691.0687375363. The cubic root of 477576 is about 78.1653297907.

It can be divided in two parts, 4775 and 76, that added together give a triangular number (4851 = T₉₈).

The spelling of 477576 in words is "four hundred seventy-seven thousand, five hundred seventy-six".