1504344480 has 96 divisors (see below), whose sum is σ = 4762800000. Its totient is φ = 399117312.

The previous prime is 1504344473. The next prime is 1504344497. The reversal of 1504344480 is 844434051.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87646 + ... + 103394.

It is an arithmetic number, because the mean of its divisors is an integer number (49612500).

Almost surely, 2^1504344480 is an apocalyptic number.

1504344480 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 1504344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381400000).

1504344480 is an abundant number, since it is smaller than the sum of its proper divisors (3258455520).

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

1504344480 is a wasteful number, since it uses less digits than its factorization.

1504344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15966 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 1504344480 is about 38785.8799049345. The cubic root of 1504344480 is about 1145.8183302263.

The spelling of 1504344480 in words is "one billion, five hundred four million, three hundred forty-four thousand, four hundred eighty".