538880 has 36 divisors (see below), whose sum is σ = 1293852. Its totient is φ = 215040.

The previous prime is 538877. The next prime is 538921. The reversal of 538880 is 88835.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 473344 = 256^2 + 688^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 538880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1070 + ... + 1490.

2⁵³⁸⁸⁸⁰ 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 538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646926).

538880 is an abundant number, since it is smaller than the sum of its proper divisors (754972).

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

538880 is an equidigital number, since it uses as much as digits as its factorization.

538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 538880 is about 734.0844638051. The cubic root of 538880 is about 81.3761904981.

The spelling of 538880 in words is "five hundred thirty-eight thousand, eight hundred eighty".