1578288240 has 200 divisors, whose sum is σ = 5521351968. Its totient is φ = 417830400.

The previous prime is 1578288233. The next prime is 1578288241. The reversal of 1578288240 is 428828751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1578288241) 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 39 ways as a sum of consecutive naturals, for example, 977674 + ... + 979286.

Almost surely, 2^1578288240 is an apocalyptic number.

1578288240 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 1578288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760675984).

1578288240 is an abundant number, since it is smaller than the sum of its proper divisors (3943063728).

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

1578288240 is a wasteful number, since it uses less digits than its factorization.

1578288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1578288240 is about 39727.6759954569. The cubic root of 1578288240 is about 1164.2925186815.

The spelling of 1578288240 in words is "one billion, five hundred seventy-eight million, two hundred eighty-eight thousand, two hundred forty".