464960 has 28 divisors (see below), whose sum is σ = 1107948. Its totient is φ = 185856.

The previous prime is 464953. The next prime is 464963. The reversal of 464960 is 69464.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 123904 = 584^2 + 352^2 .

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (464963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407 + ... + 1046.

2⁴⁶⁴⁹⁶⁰ is an apocalyptic number.

464960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464960 is an abundant number, since it is smaller than the sum of its proper divisors (642988).

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

464960 is a wasteful number, since it uses less digits than its factorization.

464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 464960 is about 681.8797547955. The cubic root of 464960 is about 77.4708874351.

The spelling of 464960 in words is "four hundred sixty-four thousand, nine hundred sixty".