504001540 has 48 divisors (see below), whose sum is σ = 1218881664. Its totient is φ = 171475200.

The previous prime is 504001489. The next prime is 504001549. The reversal of 504001540 is 45100405.

It is not an unprimeable number, because it can be changed into a prime (504001549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4600 + ... + 32080.

It is an arithmetic number, because the mean of its divisors is an integer number (25393368).

Almost surely, 2^504001540 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 504001540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609440832).

504001540 is an abundant number, since it is smaller than the sum of its proper divisors (714880124).

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

504001540 is a wasteful number, since it uses less digits than its factorization.

504001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27628 (or 27626 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 504001540 is about 22449.9786191435. The cubic root of 504001540 is about 795.8122521271.

Adding to 504001540 its reverse (45100405), we get a palindrome (549101945).

The spelling of 504001540 in words is "five hundred four million, one thousand, five hundred forty".