521904096 has 216 divisors, whose sum is σ = 1783664064. Its totient is φ = 144184320.

The previous prime is 521904079. The next prime is 521904101. The reversal of 521904096 is 690409125.

521904096 is a `hidden beast` number, since 521 + 9 + 0 + 40 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 521904096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436876 + ... + 438068.

It is an arithmetic number, because the mean of its divisors is an integer number (8257704).

Almost surely, 2^521904096 is an apocalyptic number.

521904096 is a gapful number since it is divisible by the number (56) 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 521904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891832032).

521904096 is an abundant number, since it is smaller than the sum of its proper divisors (1261759968).

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

521904096 is a wasteful number, since it uses less digits than its factorization.

521904096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 521904096 is about 22845.2204191599. The cubic root of 521904096 is about 805.1254750852.

The spelling of 521904096 in words is "five hundred twenty-one million, nine hundred four thousand, ninety-six".