1014300240 has 160 divisors (see below), whose sum is σ = 3419781120. Its totient is φ = 247652352.

The previous prime is 1014300239. The next prime is 1014300247. The reversal of 1014300240 is 420034101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014300247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147601 + ... + 154319.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632).

Almost surely, 2^1014300240 is an apocalyptic number.

1014300240 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 1014300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

1014300240 is an abundant number, since it is smaller than the sum of its proper divisors (2405480880).

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

1014300240 is a wasteful number, since it uses less digits than its factorization.

1014300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1014300240 is about 31848.0806329047. The cubic root of 1014300240 is about 1004.7442036055.

Adding to 1014300240 its reverse (420034101), we get a palindrome (1434334341).

The spelling of 1014300240 in words is "one billion, fourteen million, three hundred thousand, two hundred forty".