464560 has 20 divisors (see below), whose sum is σ = 1080288. Its totient is φ = 185792.

The previous prime is 464557. The next prime is 464561. The reversal of 464560 is 65464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (464561) 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, 2824 + ... + 2983.

2⁴⁶⁴⁵⁶⁰ is an apocalyptic number.

464560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464560 is an abundant number, since it is smaller than the sum of its proper divisors (615728).

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

464560 is a wasteful number, since it uses less digits than its factorization.

464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 464560 is about 681.5863848405. The cubic root of 464560 is about 77.4486652758.

It can be divided in two parts, 464 and 560, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 464560 in words is "four hundred sixty-four thousand, five hundred sixty".