503328672 has 144 divisors (see below), whose sum is σ = 1784607552. Its totient is φ = 130728960.

The previous prime is 503328653. The next prime is 503328691. The reversal of 503328672 is 276823305.

503328672 is a `hidden beast` number, since 503 + 3 + 2 + 86 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (503328653) and next prime (503328691).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10828 + ... + 33524.

It is an arithmetic number, because the mean of its divisors is an integer number (12393108).

Almost surely, 2^503328672 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 503328672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892303776).

503328672 is an abundant number, since it is smaller than the sum of its proper divisors (1281278880).

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

503328672 is a wasteful number, since it uses less digits than its factorization.

503328672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22731 (or 22720 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 503328672 is about 22434.9876755036. The cubic root of 503328672 is about 795.4579442999.

The spelling of 503328672 in words is "five hundred three million, three hundred twenty-eight thousand, six hundred seventy-two".