462492 has 36 divisors (see below), whose sum is σ = 1212120. Its totient is φ = 148512.

The previous prime is 462491. The next prime is 462493. The reversal of 462492 is 294264.

It is an interprime number because it is at equal distance from previous prime (462491) and next prime (462493).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 823 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (33670).

2⁴⁶²⁴⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606060).

462492 is an abundant number, since it is smaller than the sum of its proper divisors (749628).

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

462492 is a wasteful number, since it uses less digits than its factorization.

462492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 462492 is about 680.0676436944. The cubic root of 462492 is about 77.3335727962. Note that the first 3 decimals are identical.

The spelling of 462492 in words is "four hundred sixty-two thousand, four hundred ninety-two".