1315578240 has 256 divisors, whose sum is σ = 4905792000. Its totient is φ = 332273664.

The previous prime is 1315578233. The next prime is 1315578247. The reversal of 1315578240 is 428755131.

It is an interprime number because it is at equal distance from previous prime (1315578233) and next prime (1315578247).

It is a super-2 number, since 2×1315578240² = 3461492211122995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1315578195 and 1315578204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315578247) 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 31 ways as a sum of consecutive naturals, for example, 326317 + ... + 330323.

It is an arithmetic number, because the mean of its divisors is an integer number (19163250).

Almost surely, 2^1315578240 is an apocalyptic number.

1315578240 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 1315578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452896000).

1315578240 is an abundant number, since it is smaller than the sum of its proper divisors (3590213760).

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

1315578240 is a wasteful number, since it uses less digits than its factorization.

1315578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1315578240 is about 36270.9007332324. The cubic root of 1315578240 is about 1095.7350665866.

The spelling of 1315578240 in words is "one billion, three hundred fifteen million, five hundred seventy-eight thousand, two hundred forty".