473488 has 20 divisors (see below), whose sum is σ = 929628. Its totient is φ = 233600.

The previous prime is 473479. The next prime is 473497. The reversal of 473488 is 884374.

It is an interprime number because it is at equal distance from previous prime (473479) and next prime (473497).

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 21904 = 672^2 + 148^2 .

It is a super-2 number, since 2×473488² = 448381772288, which contains 22 as substring.

It is an unprimeable number.

473488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1470 + ... + 1762.

2⁴⁷³⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

473488 is a deficient number, since it is larger than the sum of its proper divisors (456140).

473488 is a wasteful number, since it uses less digits than its factorization.

473488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 473488 is about 688.1046432048. The cubic root of 473488 is about 77.9416613963.

It can be divided in two parts, 473 and 488, that added together give a square (961 = 31²).

The spelling of 473488 in words is "four hundred seventy-three thousand, four hundred eighty-eight".