1238730240 has 480 divisors, whose sum is σ = 4597705728. Its totient is φ = 283852800.

The previous prime is 1238730223. The next prime is 1238730247. The reversal of 1238730240 is 420378321.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 1238730198 and 1238730207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238730247) 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 47 ways as a sum of consecutive naturals, for example, 28807659 + ... + 28807701.

Almost surely, 2^1238730240 is an apocalyptic number.

1238730240 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 1238730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298852864).

1238730240 is an abundant number, since it is smaller than the sum of its proper divisors (3358975488).

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

1238730240 is a wasteful number, since it uses less digits than its factorization.

1238730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1238730240 is about 35195.5997249656. The cubic root of 1238730240 is about 1073.9702386948.

The spelling of 1238730240 in words is "one billion, two hundred thirty-eight million, seven hundred thirty thousand, two hundred forty".