535044672 has 168 divisors, whose sum is σ = 1642929912. Its totient is φ = 165888000.

The previous prime is 535044661. The next prime is 535044683. The reversal of 535044672 is 276440535.

It is an interprime number because it is at equal distance from previous prime (535044661) and next prime (535044683).

It can be written as a sum of positive squares in 4 ways, for example, as 265559616 + 269485056 = 16296^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988722 + ... + 989262.

Almost surely, 2^535044672 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 535044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821464956).

535044672 is an abundant number, since it is smaller than the sum of its proper divisors (1107885240).

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

535044672 is a wasteful number, since it uses less digits than its factorization.

535044672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 535044672 is about 23131.0326617728. The cubic root of 535044672 is about 811.8267322633.

The spelling of 535044672 in words is "five hundred thirty-five million, forty-four thousand, six hundred seventy-two".