462001 has 8 divisors (see below), whose sum is σ = 492480. Its totient is φ = 432432.

The previous prime is 461983. The next prime is 462013. The reversal of 462001 is 100264.

462001 = 6² + 7² + ... + 111².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-462001 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 1030 + ... + 1408.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2⁴⁶²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

462001 is a deficient number, since it is larger than the sum of its proper divisors (30479).

462001 is a wasteful number, since it uses less digits than its factorization.

462001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 462001 is about 679.7065543306. The cubic root of 462001 is about 77.3061963016.

Adding to 462001 its reverse (100264), we get a palindrome (562265).

It can be divided in two parts, 4 and 62001, that multiplied together give a square (248004 = 498²).

The spelling of 462001 in words is "four hundred sixty-two thousand, one".