462772 has 6 divisors (see below), whose sum is σ = 809858. Its totient is φ = 231384.

The previous prime is 462739. The next prime is 462773. The reversal of 462772 is 277264.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 226576 = 486^2 + 476^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 462772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57843 + ... + 57850.

2⁴⁶²⁷⁷² is an apocalyptic number.

It is an amenable number.

462772 is a deficient number, since it is larger than the sum of its proper divisors (347086).

462772 is a wasteful number, since it uses less digits than its factorization.

462772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115697 (or 115695 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 462772 is about 680.2734744204. The cubic root of 462772 is about 77.3491759721.

The spelling of 462772 in words is "four hundred sixty-two thousand, seven hundred seventy-two".