480964 has 24 divisors (see below), whose sum is σ = 973728. Its totient is φ = 205440.

The previous prime is 480959. The next prime is 480967. The reversal of 480964 is 469084.

It is a super-3 number, since 3×480964³ = 333778967646244032, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 1069.

It is an arithmetic number, because the mean of its divisors is an integer number (40572).

2⁴⁸⁰⁹⁶⁴ is an apocalyptic number.

480964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480964 is an abundant number, since it is smaller than the sum of its proper divisors (492764).

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

480964 is a wasteful number, since it uses less digits than its factorization.

480964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 480964 is about 693.5156811493. The cubic root of 480964 is about 78.3497335009.

It can be divided in two parts, 480 and 964, that added together give a square (1444 = 38²).

The spelling of 480964 in words is "four hundred eighty thousand, nine hundred sixty-four".