535840305 has 128 divisors (see below), whose sum is σ = 1164312576. Its totient is φ = 203212800.

The previous prime is 535840303. The next prime is 535840309. The reversal of 535840305 is 503048535.

It is not a de Polignac number, because 535840305 - 2¹ = 535840303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (535840303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1906765 + ... + 1907045.

It is an arithmetic number, because the mean of its divisors is an integer number (9096192).

Almost surely, 2^535840305 is an apocalyptic number.

535840305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

535840305 is an abundant number, since it is smaller than the sum of its proper divisors (628472271).

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

535840305 is a wasteful number, since it uses less digits than its factorization.

535840305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 535840305 is about 23148.2246619476. The cubic root of 535840305 is about 812.2289393242.

The spelling of 535840305 in words is "five hundred thirty-five million, eight hundred forty thousand, three hundred five".