1504260385 has 8 divisors (see below), whose sum is σ = 1911295656. Its totient is φ = 1132619520.

The previous prime is 1504260371. The next prime is 1504260389. The reversal of 1504260385 is 5830624051.

It can be written as a sum of positive squares in 4 ways, for example, as 77158656 + 1427101729 = 8784^2 + 37777^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1504260385 - 2⁵ = 1504260353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1504260385.

It is not an unprimeable number, because it can be changed into a prime (1504260389) 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 7 ways as a sum of consecutive naturals, for example, 8848506 + ... + 8848675.

It is an arithmetic number, because the mean of its divisors is an integer number (238911957).

Almost surely, 2^1504260385 is an apocalyptic number.

It is an amenable number.

1504260385 is a deficient number, since it is larger than the sum of its proper divisors (407035271).

1504260385 is a wasteful number, since it uses less digits than its factorization.

1504260385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17697203.

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 1504260385 is about 38784.7957968068. The cubic root of 1504260385 is about 1145.7969788693.

The spelling of 1504260385 in words is "one billion, five hundred four million, two hundred sixty thousand, three hundred eighty-five".