1506468480 has 128 divisors (see below), whose sum is σ = 5238475200. Its totient is φ = 365199360.

The previous prime is 1506468463. The next prime is 1506468503. The reversal of 1506468480 is 848646051.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14545 + ... + 56784.

Almost surely, 2^1506468480 is an apocalyptic number.

1506468480 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 1506468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619237600).

1506468480 is an abundant number, since it is smaller than the sum of its proper divisors (3732006720).

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

1506468480 is a wasteful number, since it uses less digits than its factorization.

1506468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71362 (or 71350 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 1506468480 is about 38813.2513453846. The cubic root of 1506468480 is about 1146.3573409972.

The spelling of 1506468480 in words is "one billion, five hundred six million, four hundred sixty-eight thousand, four hundred eighty".