1506004992 has 78 divisors (see below), whose sum is σ = 4350256482. Its totient is φ = 501989376.

The previous prime is 1506004987. The next prime is 1506005009. The reversal of 1506004992 is 2994006051.

1506004992 is a `hidden beast` number, since 1 + 5 + 0 + 600 + 49 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1504198656 + 1806336 = 38784^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 16438 + ... + 57290.

It is an arithmetic number, because the mean of its divisors is an integer number (55772519).

Almost surely, 2^1506004992 is an apocalyptic number.

1506004992 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 1506004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175128241).

1506004992 is an abundant number, since it is smaller than the sum of its proper divisors (2844251490).

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

1506004992 is an equidigital number, since it uses as much as digits as its factorization.

1506004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40883 (or 40858 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1506004992 is about 38807.2801417466. The cubic root of 1506004992 is about 1146.2397641660.

The spelling of 1506004992 in words is "one billion, five hundred six million, four thousand, nine hundred ninety-two".