480972 has 24 divisors (see below), whose sum is σ = 1134000. Its totient is φ = 158656.

The previous prime is 480967. The next prime is 480979. The reversal of 480972 is 279084.

It is a super-3 number, since 3×480972³ = 333795623421870144, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480979) 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 in 7 ways as a sum of consecutive naturals, for example, 1654 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁴⁸⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

480972 is an abundant number, since it is smaller than the sum of its proper divisors (653028).

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

480972 is a wasteful number, since it uses less digits than its factorization.

480972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 480972 is about 693.5214488392. The cubic root of 480972 is about 78.3501679024.

The spelling of 480972 in words is "four hundred eighty thousand, nine hundred seventy-two".