460832 has 12 divisors (see below), whose sum is σ = 907326. Its totient is φ = 230400.

The previous prime is 460829. The next prime is 460841. The reversal of 460832 is 238064.

Added to its reverse (238064) it gives a square (698896 = 836²).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 234256 + 226576 = 484^2 + 476^2 .

It is a super-2 number, since 2×460832² = 424732264448, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 460798 and 460807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7169 + ... + 7232.

2⁴⁶⁰⁸³² is an apocalyptic number.

It is an amenable number.

460832 is a deficient number, since it is larger than the sum of its proper divisors (446494).

460832 is a wasteful number, since it uses less digits than its factorization.

460832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14411 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 460832 is about 678.8460797559. The cubic root of 460832 is about 77.2409386704.

Adding to 460832 its reverse (238064), we get a palindrome (698896).

It can be divided in two parts, 4608 and 32, that multiplied together give a square (147456 = 384²).

The spelling of 460832 in words is "four hundred sixty thousand, eight hundred thirty-two".