536448 has 64 divisors (see below), whose sum is σ = 1566720. Its totient is φ = 161280.

The previous prime is 536447. The next prime is 536449. The reversal of 536448 is 844635.

It is an interprime number because it is at equal distance from previous prime (536447) and next prime (536449).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536448.

It is not an unprimeable number, because it can be changed into a prime (536441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4161 + ... + 4287.

It is an arithmetic number, because the mean of its divisors is an integer number (24480).

2⁵³⁶⁴⁴⁸ 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 536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783360).

536448 is an abundant number, since it is smaller than the sum of its proper divisors (1030272).

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

536448 is a wasteful number, since it uses less digits than its factorization.

536448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 536448 is about 732.4261054878. The cubic root of 536448 is about 81.2535872183.

The spelling of 536448 in words is "five hundred thirty-six thousand, four hundred forty-eight".