1500535040 has 72 divisors (see below), whose sum is σ = 3607418808. Its totient is φ = 598016000.

The previous prime is 1500535027. The next prime is 1500535061. The reversal of 1500535040 is 405350051.

It can be written as a sum of positive squares in 4 ways, for example, as 135675904 + 1364859136 = 11648^2 + 36944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1500534997 and 1500535015.

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 7 ways as a sum of consecutive naturals, for example, 373040 + ... + 377040.

It is an arithmetic number, because the mean of its divisors is an integer number (50103039).

Almost surely, 2^1500535040 is an apocalyptic number.

1500535040 is a gapful number since it is divisible by the number (10) 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 1500535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803709404).

1500535040 is an abundant number, since it is smaller than the sum of its proper divisors (2106883768).

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

1500535040 is an equidigital number, since it uses as much as digits as its factorization.

1500535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 1500535040 is about 38736.7401829323. The cubic root of 1500535040 is about 1144.8503303537.

Adding to 1500535040 its reverse (405350051), we get a palindrome (1905885091).

The spelling of 1500535040 in words is "one billion, five hundred million, five hundred thirty-five thousand, forty".