536984448 has 384 divisors, whose sum is σ = 1944821760. Its totient is φ = 127733760.

The previous prime is 536984443. The next prime is 536984453. The reversal of 536984448 is 844489635.

It is an interprime number because it is at equal distance from previous prime (536984443) and next prime (536984453).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 536984448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536984443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4228161 + ... + 4228287.

It is an arithmetic number, because the mean of its divisors is an integer number (5064640).

Almost surely, 2^536984448 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 536984448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972410880).

536984448 is an abundant number, since it is smaller than the sum of its proper divisors (1407837312).

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

536984448 is a wasteful number, since it uses less digits than its factorization.

536984448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 536984448 is about 23172.9248909153. The cubic root of 536984448 is about 812.8066272426.

The spelling of 536984448 in words is "five hundred thirty-six million, nine hundred eighty-four thousand, four hundred forty-eight".