42462 has 24 divisors (see below), whose sum is σ = 105456. Its totient is φ = 12096.

The previous prime is 42461. The next prime is 42463. The reversal of 42462 is 26424.

It is an interprime number because it is at equal distance from previous prime (42461) and next prime (42463).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42461) 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, 43 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (4394).

2⁴²⁴⁶² is an apocalyptic number.

42462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42462 is an abundant number, since it is smaller than the sum of its proper divisors (62994).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52728).

42462 is a wasteful number, since it uses less digits than its factorization.

42462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 42462 is about 206.0630971329. The cubic root of 42462 is about 34.8872562619.

Adding to 42462 its reverse (26424), we get a palindrome (68886).

The spelling of 42462 in words is "forty-two thousand, four hundred sixty-two".