503149920 has 192 divisors, whose sum is σ = 1950842880. Its totient is φ = 106149888.

The previous prime is 503149879. The next prime is 503149921. The reversal of 503149920 is 29941305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503149921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37921 + ... + 49439.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^503149920 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 503149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975421440).

503149920 is an abundant number, since it is smaller than the sum of its proper divisors (1447692960).

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

503149920 is a wasteful number, since it uses less digits than its factorization.

503149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11557 (or 11549 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 503149920 is about 22431.0035442019. The cubic root of 503149920 is about 795.3637669151.

The spelling of 503149920 in words is "five hundred three million, one hundred forty-nine thousand, nine hundred twenty".