462000 has 160 divisors (see below), whose sum is σ = 1857024. Its totient is φ = 96000.

The previous prime is 461983. The next prime is 462013. The reversal of 462000 is 264.

462000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×462000³ = 295833384000000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

462000 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 31 ways as a sum of consecutive naturals, for example, 41995 + ... + 42005.

2⁴⁶²⁰⁰⁰ is an apocalyptic number.

462000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928512).

462000 is an abundant number, since it is smaller than the sum of its proper divisors (1395024).

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

462000 is a wasteful number, since it uses less digits than its factorization.

462000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 462000 is about 679.7058187187. The cubic root of 462000 is about 77.3061405252.

Adding to 462000 its reverse (264), we get a palindrome (462264).

The spelling of 462000 in words is "four hundred sixty-two thousand".