488072 has 36 divisors (see below), whose sum is σ = 1045845. Its totient is φ = 213408.

The previous prime is 488069. The next prime is 488119. The reversal of 488072 is 270884.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 417316 + 70756 = 646^2 + 266^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=494.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25679 + ... + 25697.

2⁴⁸⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488072

488072 is an abundant number, since it is smaller than the sum of its proper divisors (557773).

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

488072 is a wasteful number, since it uses less digits than its factorization.

488072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 488072 is about 698.6214998123. The cubic root of 488072 is about 78.7338154361.

The spelling of 488072 in words is "four hundred eighty-eight thousand, seventy-two".