504054936 has 384 divisors, whose sum is σ = 1833062400. Its totient is φ = 121271040.

The previous prime is 504054923. The next prime is 504054949. The reversal of 504054936 is 639450405.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (504054923) and next prime (504054949).

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

It is a self number, because there is not a number n which added to its sum of digits gives 504054936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7523175 + ... + 7523241.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^504054936 is an apocalyptic number.

504054936 is a gapful number since it is divisible by the number (56) 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 504054936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

504054936 is an abundant number, since it is smaller than the sum of its proper divisors (1329007464).

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

504054936 is a wasteful number, since it uses less digits than its factorization.

504054936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 504054936 is about 22451.1678092700. The cubic root of 504054936 is about 795.8403550112.

The spelling of 504054936 in words is "five hundred four million, fifty-four thousand, nine hundred thirty-six".