478472 has 8 divisors (see below), whose sum is σ = 897150. Its totient is φ = 239232.

The previous prime is 478459. The next prime is 478481. The reversal of 478472 is 274874.

It can be written as a sum of positive squares in only one way, i.e., 329476 + 148996 = 574^2 + 386^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 4⁸ + 7⁴ + 4⁹ + 8³ + 7⁵ + 2¹⁷ .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29897 + ... + 29912.

2⁴⁷⁸⁴⁷² is an apocalyptic number.

It is an amenable number.

478472 is a deficient number, since it is larger than the sum of its proper divisors (418678).

478472 is a wasteful number, since it uses less digits than its factorization.

478472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59815 (or 59811 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 478472 is about 691.7167050173. The cubic root of 478472 is about 78.2141823166.

The spelling of 478472 in words is "four hundred seventy-eight thousand, four hundred seventy-two".