477972 has 72 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 134400.

The previous prime is 477947. The next prime is 477973. The reversal of 477972 is 279774.

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 (477973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6697 + ... + 6767.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2⁴⁷⁷⁹⁷² 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 477972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

477972 is an abundant number, since it is smaller than the sum of its proper divisors (937260).

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

477972 is a wasteful number, since it uses less digits than its factorization.

477972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 477972 is about 691.3551909113. The cubic root of 477972 is about 78.1869283908.

It can be divided in two parts, 4779 and 72, that added together give a triangular number (4851 = T₉₈).

The spelling of 477972 in words is "four hundred seventy-seven thousand, nine hundred seventy-two".