1239870240 has 480 divisors, whose sum is σ = 5093383680. Its totient is φ = 278194176.

The previous prime is 1239870193. The next prime is 1239870241. The reversal of 1239870240 is 420789321.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1239870195 and 1239870204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1239870241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7166794 + ... + 7166966.

It is an arithmetic number, because the mean of its divisors is an integer number (10611216).

Almost surely, 2^1239870240 is an apocalyptic number.

1239870240 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 1239870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546691840).

1239870240 is an abundant number, since it is smaller than the sum of its proper divisors (3853513440).

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

1239870240 is a wasteful number, since it uses less digits than its factorization.

1239870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1239870240 is about 35211.7912069239. The cubic root of 1239870240 is about 1074.2995949563.

The spelling of 1239870240 in words is "one billion, two hundred thirty-nine million, eight hundred seventy thousand, two hundred forty".