503000352 has 144 divisors (see below), whose sum is σ = 1536941952. Its totient is φ = 155473920.

The previous prime is 503000293. The next prime is 503000353. The reversal of 503000352 is 253000305.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×503000352² = 506018708224247808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (503000353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346893 + ... + 348339.

It is an arithmetic number, because the mean of its divisors is an integer number (10673208).

Almost surely, 2^503000352 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 503000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768470976).

503000352 is an abundant number, since it is smaller than the sum of its proper divisors (1033941600).

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

503000352 is a wasteful number, since it uses less digits than its factorization.

503000352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 503000352 is about 22427.6693394566. The cubic root of 503000352 is about 795.2849482882.

Adding to 503000352 its reverse (253000305), we get a palindrome (756000657).

The spelling of 503000352 in words is "five hundred three million, three hundred fifty-two", and thus it is an aban number.