462632 has 8 divisors (see below), whose sum is σ = 867450. Its totient is φ = 231312.

The previous prime is 462629. The next prime is 462641. The reversal of 462632 is 236264.

Added to its reverse (236264) it gives a square (698896 = 836²).

It can be written as a sum of positive squares in only one way, i.e., 391876 + 70756 = 626^2 + 266^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 462598 and 462607.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28907 + ... + 28922.

2⁴⁶²⁶³² is an apocalyptic number.

It is an amenable number.

462632 is a deficient number, since it is larger than the sum of its proper divisors (404818).

462632 is a wasteful number, since it uses less digits than its factorization.

462632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57835 (or 57831 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 462632 is about 680.1705668433. The cubic root of 462632 is about 77.3413751711.

Adding to 462632 its reverse (236264), we get a palindrome (698896).

The spelling of 462632 in words is "four hundred sixty-two thousand, six hundred thirty-two".