1503242320 has 40 divisors (see below), whose sum is σ = 3509585640. Its totient is φ = 598794240.

The previous prime is 1503242309. The next prime is 1503242329. The reversal of 1503242320 is 232423051.

It can be written as a sum of positive squares in 4 ways, for example, as 378847296 + 1124395024 = 19464^2 + 33532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1503242291 and 1503242300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1503242329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19705 + ... + 58264.

It is an arithmetic number, because the mean of its divisors is an integer number (87739641).

Almost surely, 2^1503242320 is an apocalyptic number.

1503242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1503242320 is an abundant number, since it is smaller than the sum of its proper divisors (2006343320).

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

1503242320 is a wasteful number, since it uses less digits than its factorization.

1503242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78223 (or 78217 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1503242320 is about 38771.6690381005. The cubic root of 1503242320 is about 1145.5384334144.

Adding to 1503242320 its reverse (232423051), we get a palindrome (1735665371).

The spelling of 1503242320 in words is "one billion, five hundred three million, two hundred forty-two thousand, three hundred twenty".