506733696 has 288 divisors, whose sum is σ = 1741409280. Its totient is φ = 140958720.

The previous prime is 506733679. The next prime is 506733701. The reversal of 506733696 is 696337605.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2652961 + ... + 2653151.

It is an arithmetic number, because the mean of its divisors is an integer number (6046560).

Almost surely, 2^506733696 is an apocalyptic number.

506733696 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 506733696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870704640).

506733696 is an abundant number, since it is smaller than the sum of its proper divisors (1234675584).

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

506733696 is a wasteful number, since it uses less digits than its factorization.

506733696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 506733696 is about 22510.7462337436. The cubic root of 506733696 is about 797.2476750769.

The spelling of 506733696 in words is "five hundred six million, seven hundred thirty-three thousand, six hundred ninety-six".