467742 has 32 divisors (see below), whose sum is σ = 1077120. Its totient is φ = 133920.

The previous prime is 467737. The next prime is 467743. The reversal of 467742 is 247764.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (33660).

2⁴⁶⁷⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538560).

467742 is an abundant number, since it is smaller than the sum of its proper divisors (609378).

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

467742 is a wasteful number, since it uses less digits than its factorization.

467742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its digits is 9408, while the sum is 30.

The square root of 467742 is about 683.9166615897. The cubic root of 467742 is about 77.6250910820.

The spelling of 467742 in words is "four hundred sixty-seven thousand, seven hundred forty-two".