535760352 has 192 divisors, whose sum is σ = 1639249920. Its totient is φ = 170035200.

The previous prime is 535760327. The next prime is 535760363. The reversal of 535760352 is 253067535.

535760352 is a `hidden beast` number, since 53 + 576 + 0 + 35 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2222952 + ... + 2223192.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2^535760352 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 535760352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819624960).

535760352 is an abundant number, since it is smaller than the sum of its proper divisors (1103489568).

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

535760352 is a wasteful number, since it uses less digits than its factorization.

535760352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 535760352 is about 23146.4976184303. The cubic root of 535760352 is about 812.1885396194.

The spelling of 535760352 in words is "five hundred thirty-five million, seven hundred sixty thousand, three hundred fifty-two".