1504996992 has 192 divisors, whose sum is σ = 4717908000. Its totient is φ = 458680320.

The previous prime is 1504996979. The next prime is 1504996993. The reversal of 1504996992 is 2996994051.

1504996992 is a `hidden beast` number, since 1 + 5 + 0 + 499 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504996993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633567 + ... + 635937.

Almost surely, 2^1504996992 is an apocalyptic number.

1504996992 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 1504996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358954000).

1504996992 is an abundant number, since it is smaller than the sum of its proper divisors (3212911008).

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

1504996992 is a wasteful number, since it uses less digits than its factorization.

1504996992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 1504996992 is about 38794.2907139698. The cubic root of 1504996992 is about 1145.9839731684.

The spelling of 1504996992 in words is "one billion, five hundred four million, nine hundred ninety-six thousand, nine hundred ninety-two".