462288 has 20 divisors (see below), whose sum is σ = 1194368. Its totient is φ = 154080.

The previous prime is 462271. The next prime is 462307. The reversal of 462288 is 882264.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4768 + ... + 4863.

2⁴⁶²²⁸⁸ is an apocalyptic number.

462288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462288 is an abundant number, since it is smaller than the sum of its proper divisors (732080).

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

462288 is a wasteful number, since it uses less digits than its factorization.

462288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9636 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 462288 is about 679.9176420714. The cubic root of 462288 is about 77.3222008020.

The spelling of 462288 in words is "four hundred sixty-two thousand, two hundred eighty-eight".