535341744 has 320 divisors, whose sum is σ = 1885593600. Its totient is φ = 142103808.

The previous prime is 535341743. The next prime is 535341749. The reversal of 535341744 is 447143535.

535341744 is a `hidden beast` number, since 53 + 534 + 1 + 74 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 535341699 and 535341708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535341743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2990647 + ... + 2990825.

It is an arithmetic number, because the mean of its divisors is an integer number (5892480).

Almost surely, 2^535341744 is an apocalyptic number.

535341744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535341744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942796800).

535341744 is an abundant number, since it is smaller than the sum of its proper divisors (1350251856).

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

535341744 is a wasteful number, since it uses less digits than its factorization.

535341744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

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

The square root of 535341744 is about 23137.4532738588. The cubic root of 535341744 is about 811.9769542182.

It can be divided in two parts, 53534 and 1744, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 535341744 in words is "five hundred thirty-five million, three hundred forty-one thousand, seven hundred forty-four".