1503463680 has 360 divisors, whose sum is σ = 5702796792. Its totient is φ = 376897536.

The previous prime is 1503463657. The next prime is 1503463681. The reversal of 1503463680 is 863643051.

1503463680 is a `hidden beast` number, since 1 + 503 + 46 + 36 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58247424 + 1445216256 = 7632^2 + 38016^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1503463681) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1762134 + ... + 1762986.

Almost surely, 2^1503463680 is an apocalyptic number.

1503463680 is a gapful number since it is divisible by the number (10) 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 1503463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851398396).

1503463680 is an abundant number, since it is smaller than the sum of its proper divisors (4199333112).

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

1503463680 is an equidigital number, since it uses as much as digits as its factorization.

1503463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1503463680 is about 38774.5235947523. The cubic root of 1503463680 is about 1145.5946594219.

The spelling of 1503463680 in words is "one billion, five hundred three million, four hundred sixty-three thousand, six hundred eighty".