538480 has 40 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 209664.

The previous prime is 538471. The next prime is 538481. The reversal of 538480 is 84835.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538481) 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, 4177 + ... + 4303.

2⁵³⁸⁴⁸⁰ is an apocalyptic number.

538480 is the 424-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816).

538480 is an abundant number, since it is smaller than the sum of its proper divisors (747152).

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

538480 is a wasteful number, since it uses less digits than its factorization.

538480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 538480 is about 733.8119650156. The cubic root of 538480 is about 81.3560508669.

The spelling of 538480 in words is "five hundred thirty-eight thousand, four hundred eighty".