462488 has 16 divisors (see below), whose sum is σ = 934080. Its totient is φ = 213408.

The previous prime is 462481. The next prime is 462491. The reversal of 462488 is 884264.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462488.

It is not an unprimeable number, because it can be changed into a prime (462481) by changing a digit.

462488 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, 2120 + ... + 2327.

It is an arithmetic number, because the mean of its divisors is an integer number (58380).

2⁴⁶²⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

462488 is an abundant number, since it is smaller than the sum of its proper divisors (471592).

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

462488 is a wasteful number, since it uses less digits than its factorization.

462488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4462 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 462488 is about 680.0647028041. The cubic root of 462488 is about 77.3333498481. Note that the first 4 decimals are identical.

It can be divided in two parts, 462 and 488, that multiplied together give a triangular number (225456 = T₆₇₁).

The spelling of 462488 in words is "four hundred sixty-two thousand, four hundred eighty-eight".