479952 has 80 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 144000.

The previous prime is 479951. The next prime is 479953. The reversal of 479952 is 259974.

It is an interprime number because it is at equal distance from previous prime (479951) and next prime (479953).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4702 + ... + 4802.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

2⁴⁷⁹⁹⁵² 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 479952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

479952 is an abundant number, since it is smaller than the sum of its proper divisors (1037808).

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

479952 is a wasteful number, since it uses less digits than its factorization.

479952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 479952 is about 692.7856811453. The cubic root of 479952 is about 78.2947428246.

It can be divided in two parts, 4799 and 52, that added together give a triangular number (4851 = T₉₈).

The spelling of 479952 in words is "four hundred seventy-nine thousand, nine hundred fifty-two".