477864 has 24 divisors (see below), whose sum is σ = 1294410. Its totient is φ = 159264.

The previous prime is 477863. The next prime is 477881. The reversal of 477864 is 468774.

It is a happy number.

477864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 476100 + 1764 = 690^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (477863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3247 + ... + 3390.

2⁴⁷⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

477864 is an abundant number, since it is smaller than the sum of its proper divisors (816546).

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

477864 is a wasteful number, since it uses less digits than its factorization.

477864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6642 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 477864 is about 691.2770790356. The cubic root of 477864 is about 78.1810390469.

The spelling of 477864 in words is "four hundred seventy-seven thousand, eight hundred sixty-four".