504283104 has 384 divisors, whose sum is σ = 1778112000. Its totient is φ = 137355264.

The previous prime is 504283103. The next prime is 504283177. The reversal of 504283104 is 401382405.

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 (504283103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3627867 + ... + 3628005.

It is an arithmetic number, because the mean of its divisors is an integer number (4630500).

Almost surely, 2^504283104 is an apocalyptic number.

504283104 is a gapful number since it is divisible by the number (54) 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 504283104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056000).

504283104 is an abundant number, since it is smaller than the sum of its proper divisors (1273828896).

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

504283104 is a wasteful number, since it uses less digits than its factorization.

504283104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504283104 is about 22456.2486626774. The cubic root of 504283104 is about 795.9604199068.

The spelling of 504283104 in words is "five hundred four million, two hundred eighty-three thousand, one hundred four".