504051720 has 128 divisors (see below), whose sum is σ = 1558103040. Its totient is φ = 130394880.

The previous prime is 504051707. The next prime is 504051727. The reversal of 504051720 is 27150405.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (504051727) 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 31 ways as a sum of consecutive naturals, for example, 570399 + ... + 571281.

It is an arithmetic number, because the mean of its divisors is an integer number (12172680).

Almost surely, 2^504051720 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 504051720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779051520).

504051720 is an abundant number, since it is smaller than the sum of its proper divisors (1054051320).

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

504051720 is a wasteful number, since it uses less digits than its factorization.

504051720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 504051720 is about 22451.0961870462. The cubic root of 504051720 is about 795.8386624522.

It can be divided in two parts, 50405 and 1720, that added together give a palindrome (52125).

The spelling of 504051720 in words is "five hundred four million, fifty-one thousand, seven hundred twenty".