504014004 has 36 divisors (see below), whose sum is σ = 1372039396. Its totient is φ = 155081088.

The previous prime is 504014003. The next prime is 504014029. The reversal of 504014004 is 400410405.

It can be written as a sum of positive squares in 2 ways, for example, as 209960100 + 294053904 = 14490^2 + 17148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×504014004² = 508060232456224032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504014003) 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 11 ways as a sum of consecutive naturals, for example, 538009 + ... + 538944.

Almost surely, 2^504014004 is an apocalyptic number.

It is an amenable number.

504014004 is an abundant number, since it is smaller than the sum of its proper divisors (868025392).

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

504014004 is a wasteful number, since it uses less digits than its factorization.

504014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076976 (or 1076971 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 504014004 is about 22450.2562123464. The cubic root of 504014004 is about 795.8188122408.

Adding to 504014004 its reverse (400410405), we get a palindrome (904424409).

It can be divided in two parts, 5040 and 14004, that added together give a square (19044 = 138²).

The spelling of 504014004 in words is "five hundred four million, fourteen thousand, four".