504548352 has 440 divisors, whose sum is σ = 1902236160. Its totient is φ = 129392640.

The previous prime is 504548347. The next prime is 504548357. The reversal of 504548352 is 253845405.

It is an interprime number because it is at equal distance from previous prime (504548347) and next prime (504548357).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504548357) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6386649 + ... + 6386727.

It is an arithmetic number, because the mean of its divisors is an integer number (4323264).

Almost surely, 2^504548352 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 504548352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951118080).

504548352 is an abundant number, since it is smaller than the sum of its proper divisors (1397687808).

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

504548352 is a wasteful number, since it uses less digits than its factorization.

504548352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 504548352 is about 22462.1537702866. The cubic root of 504548352 is about 796.0999512545.

The spelling of 504548352 in words is "five hundred four million, five hundred forty-eight thousand, three hundred fifty-two".