504016401 has 48 divisors (see below), whose sum is σ = 828260160. Its totient is φ = 271071360.

The previous prime is 504016399. The next prime is 504016427. The reversal of 504016401 is 104610405.

It is not a de Polignac number, because 504016401 - 2¹ = 504016399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (504016441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505035 + ... + 506031.

It is an arithmetic number, because the mean of its divisors is an integer number (17255420).

Almost surely, 2^504016401 is an apocalyptic number.

It is an amenable number.

504016401 is a deficient number, since it is larger than the sum of its proper divisors (324243759).

504016401 is a wasteful number, since it uses less digits than its factorization.

504016401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 504016401 is about 22450.3095969744. The cubic root of 504016401 is about 795.8200738292.

Adding to 504016401 its reverse (104610405), we get a palindrome (608626806).

The spelling of 504016401 in words is "five hundred four million, sixteen thousand, four hundred one".