1304503872 has 168 divisors, whose sum is σ = 4036929696. Its totient is φ = 370685952.

The previous prime is 1304503867. The next prime is 1304503877. The reversal of 1304503872 is 2783054031.

It is an interprime number because it is at equal distance from previous prime (1304503867) and next prime (1304503877).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (1304503877) 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 23 ways as a sum of consecutive naturals, for example, 2944483 + ... + 2944925.

Almost surely, 2^1304503872 is an apocalyptic number.

1304503872 is a gapful number since it is divisible by the number (12) 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 1304503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018464848).

1304503872 is an abundant number, since it is smaller than the sum of its proper divisors (2732425824).

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

1304503872 is a wasteful number, since it uses less digits than its factorization.

1304503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1304503872 is about 36117.9162189626. The cubic root of 1304503872 is about 1092.6518133544.

The spelling of 1304503872 in words is "one billion, three hundred four million, five hundred three thousand, eight hundred seventy-two".