504693952 has 56 divisors (see below), whose sum is σ = 1147608576. Its totient is φ = 215724288.

The previous prime is 504693913. The next prime is 504693953. The reversal of 504693952 is 259396405.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 504693899 and 504693908.

It is not an unprimeable number, because it can be changed into a prime (504693953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197193 + ... + 199735.

Almost surely, 2^504693952 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 504693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573804288).

504693952 is an abundant number, since it is smaller than the sum of its proper divisors (642914624).

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

504693952 is a wasteful number, since it uses less digits than its factorization.

504693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The square root of 504693952 is about 22465.3945436086. The cubic root of 504693952 is about 796.1765220493.

The spelling of 504693952 in words is "five hundred four million, six hundred ninety-three thousand, nine hundred fifty-two".