462462 has 72 divisors (see below), whose sum is σ = 1273608. Its totient is φ = 110880.

The previous prime is 462443. The next prime is 462467. The reversal of 462462 is 264264.

It is a super-2 number, since 2×462462² = 427742202888, which contains 22 as substring.

Its product of digits (2304) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462467) by changing a digit.

462462 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 35 ways as a sum of consecutive naturals, for example, 35568 + ... + 35580.

It is an arithmetic number, because the mean of its divisors is an integer number (17689).

2⁴⁶²⁴⁶² is an apocalyptic number.

462462 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 462462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636804).

462462 is an abundant number, since it is smaller than the sum of its proper divisors (811146).

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

462462 is a wasteful number, since it uses less digits than its factorization.

462462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 462462 is about 680.0455867072. The cubic root of 462462 is about 77.3319006539.

The spelling of 462462 in words is "four hundred sixty-two thousand, four hundred sixty-two".