464976 has 30 divisors (see below), whose sum is σ = 1301690. Its totient is φ = 154944.

The previous prime is 464963. The next prime is 464983. The reversal of 464976 is 679464.

464976 is a `hidden beast` number, since 4 + 649 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 104976 = 600^2 + 324^2 .

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

It is an Ulam number.

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 464976.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1471 + ... + 1758.

2⁴⁶⁴⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

464976 is an abundant number, since it is smaller than the sum of its proper divisors (836714).

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

464976 is a wasteful number, since it uses less digits than its factorization.

464976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3234 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 464976 is about 681.8914869684. The cubic root of 464976 is about 77.4717760563.

Adding to 464976 its product of digits (36288), we get a square (501264 = 708²).

It can be divided in two parts, 4 and 64976, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 464976 in words is "four hundred sixty-four thousand, nine hundred seventy-six".