1505255440 has 120 divisors (see below), whose sum is σ = 3905640648. Its totient is φ = 536309760.

The previous prime is 1505255407. The next prime is 1505255441. The reversal of 1505255440 is 445525051.

It can be written as a sum of positive squares in 12 ways, for example, as 359026704 + 1146228736 = 18948^2 + 33856^2 .

It is not an unprimeable number, because it can be changed into a prime (1505255441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 873780 + ... + 875500.

Almost surely, 2^1505255440 is an apocalyptic number.

1505255440 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 1505255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952820324).

1505255440 is an abundant number, since it is smaller than the sum of its proper divisors (2400385208).

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

1505255440 is a wasteful number, since it uses less digits than its factorization.

1505255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The square root of 1505255440 is about 38797.6215765864. The cubic root of 1505255440 is about 1146.0495680534.

The spelling of 1505255440 in words is "one billion, five hundred five million, two hundred fifty-five thousand, four hundred forty".