477252 has 36 divisors (see below), whose sum is σ = 1253616. Its totient is φ = 158760.

The previous prime is 477229. The next prime is 477259. The reversal of 477252 is 252774.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477252.

It is not an unprimeable number, because it can be changed into a prime (477259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727 + ... + 1217.

2⁴⁷⁷²⁵² 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 477252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626808).

477252 is an abundant number, since it is smaller than the sum of its proper divisors (776364).

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

477252 is a wasteful number, since it uses less digits than its factorization.

477252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 477252 is about 690.8342782462. The cubic root of 477252 is about 78.1476493264.

It can be divided in two parts, 477 and 252, that added together give a 6-th power (729 = 3⁶).

The spelling of 477252 in words is "four hundred seventy-seven thousand, two hundred fifty-two".