477072 has 30 divisors (see below), whose sum is σ = 1335542. Its totient is φ = 158976.

The previous prime is 477047. The next prime is 477073. The reversal of 477072 is 270774.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 9216 = 684^2 + 96^2 .

It is not an unprimeable number, because it can be changed into a prime (477073) 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, 1513 + ... + 1800.

2⁴⁷⁷⁰⁷² is an apocalyptic number.

It is an amenable number.

477072 is an abundant number, since it is smaller than the sum of its proper divisors (858470).

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

477072 is a wasteful number, since it uses less digits than its factorization.

477072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 477072 is about 690.7039886956. The cubic root of 477072 is about 78.1378233884.

The spelling of 477072 in words is "four hundred seventy-seven thousand, seventy-two", and thus it is an iban number.