535406144 has 168 divisors, whose sum is σ = 1391277888. Its totient is φ = 202245120.

The previous prime is 535406141. The next prime is 535406153. The reversal of 535406144 is 441604535.

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

It is a self number, because there is not a number n which added to its sum of digits gives 535406144.

It is not an unprimeable number, because it can be changed into a prime (535406141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937379 + ... + 937949.

It is an arithmetic number, because the mean of its divisors is an integer number (8281416).

Almost surely, 2^535406144 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 535406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695638944).

535406144 is an abundant number, since it is smaller than the sum of its proper divisors (855871744).

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

535406144 is a wasteful number, since it uses less digits than its factorization.

535406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 535406144 is about 23138.8449149909. The cubic root of 535406144 is about 812.0095123737.

The spelling of 535406144 in words is "five hundred thirty-five million, four hundred six thousand, one hundred forty-four".