1500305920 has 40 divisors (see below), whose sum is σ = 3597224004. Its totient is φ = 600121344.

The previous prime is 1500305903. The next prime is 1500305921. The reversal of 1500305920 is 295030051.

It can be written as a sum of positive squares in 2 ways, for example, as 1441569024 + 58736896 = 37968^2 + 7664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1500305921) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 290469 + ... + 295588.

Almost surely, 2^1500305920 is an apocalyptic number.

1500305920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1500305920 is an abundant number, since it is smaller than the sum of its proper divisors (2096918084).

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

1500305920 is an frugal number, since it uses more digits than its factorization.

1500305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586080 (or 586064 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 1500305920 is about 38733.7826709450. The cubic root of 1500305920 is about 1144.7920574816.

Adding to 1500305920 its reverse (295030051), we get a palindrome (1795335971).

The spelling of 1500305920 in words is "one billion, five hundred million, three hundred five thousand, nine hundred twenty".