504032352 has 96 divisors (see below), whose sum is σ = 1392388704. Its totient is φ = 159436800.

The previous prime is 504032341. The next prime is 504032401. The reversal of 504032352 is 253230405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×504032352² = 508097223725303808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143902 + ... + 147362.

It is an arithmetic number, because the mean of its divisors is an integer number (14504049).

Almost surely, 2^504032352 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 504032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696194352).

504032352 is an abundant number, since it is smaller than the sum of its proper divisors (888356352).

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

504032352 is a wasteful number, since it uses less digits than its factorization.

504032352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 504032352 is about 22450.6648453893. The cubic root of 504032352 is about 795.8284690534.

Adding to 504032352 its reverse (253230405), we get a palindrome (757262757).

The spelling of 504032352 in words is "five hundred four million, thirty-two thousand, three hundred fifty-two".