477664 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 204160.

The previous prime is 477637. The next prime is 477671. The reversal of 477664 is 466774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8067 + ... + 8125.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁷⁷⁶⁶⁴ is an apocalyptic number.

477664 is a gapful number since it is divisible by the number (44) 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 477664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

477664 is an abundant number, since it is smaller than the sum of its proper divisors (610976).

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

477664 is a wasteful number, since it uses less digits than its factorization.

477664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 477664 is about 691.1324041021. The cubic root of 477664 is about 78.1701305111.

The spelling of 477664 in words is "four hundred seventy-seven thousand, six hundred sixty-four".