504721152 has 288 divisors, whose sum is σ = 1658583360. Its totient is φ = 150405120.

The previous prime is 504721141. The next prime is 504721157. The reversal of 504721152 is 251127405.

504721152 is a `hidden beast` number, since 504 + 7 + 2 + 1 + 152 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504721157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3684028 + ... + 3684164.

It is an arithmetic number, because the mean of its divisors is an integer number (5758970).

Almost surely, 2^504721152 is an apocalyptic number.

504721152 is a gapful number since it is divisible by the number (52) 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 504721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829291680).

504721152 is an abundant number, since it is smaller than the sum of its proper divisors (1153862208).

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

504721152 is a wasteful number, since it uses less digits than its factorization.

504721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 504721152 is about 22465.9999109766. Note that the first 4 decimals coincide. The cubic root of 504721152 is about 796.1908248509.

Adding to 504721152 its reverse (251127405), we get a palindrome (755848557).

The spelling of 504721152 in words is "five hundred four million, seven hundred twenty-one thousand, one hundred fifty-two".