503148672 has 160 divisors (see below), whose sum is σ = 1612975980. Its totient is φ = 154773504.

The previous prime is 503148661. The next prime is 503148691. The reversal of 503148672 is 276841305.

503148672 is a `hidden beast` number, since 503 + 1 + 4 + 86 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 488586816 + 14561856 = 22104^2 + 3816^2 .

It is a super-2 number, since 2×503148672² = 506317172270727168, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132918 + ... + 136650.

Almost surely, 2^503148672 is an apocalyptic number.

503148672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806487990).

503148672 is an abundant number, since it is smaller than the sum of its proper divisors (1109827308).

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

503148672 is a wasteful number, since it uses less digits than its factorization.

503148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 503148672 is about 22430.9757255452. The cubic root of 503148672 is about 795.3631093146.

Adding to 503148672 its reverse (276841305), we get a palindrome (779989977).

The spelling of 503148672 in words is "five hundred three million, one hundred forty-eight thousand, six hundred seventy-two".