1504628496 has 240 divisors, whose sum is σ = 5037177600. Its totient is φ = 418844160.

The previous prime is 1504628491. The next prime is 1504628509. The reversal of 1504628496 is 6948264051.

1504628496 is a `hidden beast` number, since 1 + 504 + 62 + 84 + 9 + 6 = 666.

1504628496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504628491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2024701 + ... + 2025443.

It is an arithmetic number, because the mean of its divisors is an integer number (20988240).

Almost surely, 2^1504628496 is an apocalyptic number.

1504628496 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 1504628496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518588800).

1504628496 is an abundant number, since it is smaller than the sum of its proper divisors (3532549104).

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

1504628496 is a wasteful number, since it uses less digits than its factorization.

1504628496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1504628496 is about 38789.5410645705. The cubic root of 1504628496 is about 1145.8904347798.

The spelling of 1504628496 in words is "one billion, five hundred four million, six hundred twenty-eight thousand, four hundred ninety-six".