462016 has 14 divisors (see below), whose sum is σ = 916940. Its totient is φ = 230976.

The previous prime is 462013. The next prime is 462041. The reversal of 462016 is 610264.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 461984 and 462002.

It is not an unprimeable number, because it can be changed into a prime (462013) by changing a digit.

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 as a sum of consecutive naturals, namely, 3546 + ... + 3673.

2⁴⁶²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

462016 is a deficient number, since it is larger than the sum of its proper divisors (454924).

462016 is an equidigital number, since it uses as much as digits as its factorization.

462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 462016 is about 679.7175884145. The cubic root of 462016 is about 77.3070329378.

It can be divided in two parts, 4620 and 16, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 462016 in words is "four hundred sixty-two thousand, sixteen".