1505326240 has 96 divisors (see below), whose sum is σ = 3909850560. Its totient is φ = 543129600.

The previous prime is 1505326231. The next prime is 1505326261. The reversal of 1505326240 is 426235051.

It is a junction number, because it is equal to n+sod(n) for n = 1505326199 and 1505326208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227296 + ... + 233824.

It is an arithmetic number, because the mean of its divisors is an integer number (40727610).

Almost surely, 2^1505326240 is an apocalyptic number.

1505326240 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 1505326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954925280).

1505326240 is an abundant number, since it is smaller than the sum of its proper divisors (2404524320).

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

1505326240 is a wasteful number, since it uses less digits than its factorization.

1505326240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1505326240 is about 38798.5339929230. The cubic root of 1505326240 is about 1146.0675359976.

The spelling of 1505326240 in words is "one billion, five hundred five million, three hundred twenty-six thousand, two hundred forty".