504143948 has 144 divisors (see below), whose sum is σ = 1219599360. Its totient is φ = 179625600.

The previous prime is 504143947. The next prime is 504143953. The reversal of 504143948 is 849341405.

It is a super-2 number, since 2×504143948² = 508322240610053408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (504143947) 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 47 ways as a sum of consecutive naturals, for example, 1269686 + ... + 1270082.

It is an arithmetic number, because the mean of its divisors is an integer number (8469440).

Almost surely, 2^504143948 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 504143948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609799680).

504143948 is an abundant number, since it is smaller than the sum of its proper divisors (715455412).

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

504143948 is a wasteful number, since it uses less digits than its factorization.

504143948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 504143948 is about 22453.1500685316. The cubic root of 504143948 is about 795.8871985641.

The spelling of 504143948 in words is "five hundred four million, one hundred forty-three thousand, nine hundred forty-eight".