1504746496 has 176 divisors, whose sum is σ = 3537216000. Its totient is φ = 632586240.

The previous prime is 1504746473. The next prime is 1504746497. The reversal of 1504746496 is 6946474051.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504746497) 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 15 ways as a sum of consecutive naturals, for example, 16907220 + ... + 16907308.

Almost surely, 2^1504746496 is an apocalyptic number.

1504746496 is a gapful number since it is divisible by the number (16) 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 1504746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768608000).

1504746496 is an abundant number, since it is smaller than the sum of its proper divisors (2032469504).

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

1504746496 is a wasteful number, since it uses less digits than its factorization.

1504746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 1504746496 is about 38791.0620633156. The cubic root of 1504746496 is about 1145.9203893582.

The spelling of 1504746496 in words is "one billion, five hundred four million, seven hundred forty-six thousand, four hundred ninety-six".