462042 has 48 divisors (see below), whose sum is σ = 1210560. Its totient is φ = 124416.

The previous prime is 462041. The next prime is 462067. The reversal of 462042 is 240264.

462042 = 4² + 5² + ... + 111².

462042 is a `hidden beast` number, since 4 + 620 + 42 = 666.

462042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (462041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2298 + ... + 2490.

It is an arithmetic number, because the mean of its divisors is an integer number (25220).

2⁴⁶²⁰⁴² is an apocalyptic number.

462042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 462042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605280).

462042 is an abundant number, since it is smaller than the sum of its proper divisors (748518).

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

462042 is a wasteful number, since it uses less digits than its factorization.

462042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

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

The square root of 462042 is about 679.7367137355. The cubic root of 462042 is about 77.3084830645.

The spelling of 462042 in words is "four hundred sixty-two thousand, forty-two".