504131040 has 240 divisors, whose sum is σ = 2033694432. Its totient is φ = 115209216.

The previous prime is 504130999. The next prime is 504131053. The reversal of 504131040 is 40131405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87942 + ... + 93498.

Almost surely, 2^504131040 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 504131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016847216).

504131040 is an abundant number, since it is smaller than the sum of its proper divisors (1529563392).

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

504131040 is a wasteful number, since it uses less digits than its factorization.

504131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 504131040 is about 22452.8626237280. The cubic root of 504131040 is about 795.8804059277.

Adding to 504131040 its reverse (40131405), we get a palindrome (544262445).

The spelling of 504131040 in words is "five hundred four million, one hundred thirty-one thousand, forty".