535559904 has 192 divisors, whose sum is σ = 1751258880. Its totient is φ = 157800960.

The previous prime is 535559861. The next prime is 535559923. The reversal of 535559904 is 409955535.

535559904 is a `hidden beast` number, since 5 + 3 + 5 + 559 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 535559904.

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, 350887 + ... + 352409.

It is an arithmetic number, because the mean of its divisors is an integer number (9121140).

Almost surely, 2^535559904 is an apocalyptic number.

535559904 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 535559904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

535559904 is an abundant number, since it is smaller than the sum of its proper divisors (1215698976).

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

535559904 is a wasteful number, since it uses less digits than its factorization.

535559904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The square root of 535559904 is about 23142.1672278117. The cubic root of 535559904 is about 812.0872369409.

The spelling of 535559904 in words is "five hundred thirty-five million, five hundred fifty-nine thousand, nine hundred four".