536480 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 183552.

The previous prime is 536479. The next prime is 536491. The reversal of 536480 is 84635.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁵³⁶⁴⁸⁰ 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 536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

536480 is an abundant number, since it is smaller than the sum of its proper divisors (915040).

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

536480 is a wasteful number, since it uses less digits than its factorization.

536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 536480 is about 732.4479503692. The cubic root of 536480 is about 81.2552028227.

The spelling of 536480 in words is "five hundred thirty-six thousand, four hundred eighty".