1578258240 has 448 divisors, whose sum is σ = 5880542976. Its totient is φ = 355074048.

The previous prime is 1578258203. The next prime is 1578258247. The reversal of 1578258240 is 428528751.

It is a junction number, because it is equal to n+sod(n) for n = 1578258192 and 1578258201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1578258247) 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 63 ways as a sum of consecutive naturals, for example, 9122794 + ... + 9122966.

It is an arithmetic number, because the mean of its divisors is an integer number (13126212).

Almost surely, 2^1578258240 is an apocalyptic number.

1578258240 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 1578258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940271488).

1578258240 is an abundant number, since it is smaller than the sum of its proper divisors (4302284736).

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

1578258240 is a wasteful number, since it uses less digits than its factorization.

1578258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 1578258240 is about 39727.2984231246. The cubic root of 1578258240 is about 1164.2851417026.

The spelling of 1578258240 in words is "one billion, five hundred seventy-eight million, two hundred fifty-eight thousand, two hundred forty".