462996 has 30 divisors (see below), whose sum is σ = 1211210. Its totient is φ = 154224.

The previous prime is 462983. The next prime is 463003. The reversal of 462996 is 699264.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 171396 = 540^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 462996.

It is a congruent number.

It is an unprimeable number.

462996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 391 + ... + 1038.

2⁴⁶²⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

462996 is an abundant number, since it is smaller than the sum of its proper divisors (748214).

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

462996 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 462996 = (296946)₁₁.

462996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1434 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 462996 is about 680.4380941717. The cubic root of 462996 is about 77.3616539819.

The spelling of 462996 in words is "four hundred sixty-two thousand, nine hundred ninety-six".