1238404440 has 384 divisors, whose sum is σ = 4933172160. Its totient is φ = 245661696.

The previous prime is 1238404421. The next prime is 1238404441. The reversal of 1238404440 is 444048321.

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 = 1238404398 and 1238404407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238404441) 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 95 ways as a sum of consecutive naturals, for example, 1299004 + ... + 1299956.

Almost surely, 2^1238404440 is an apocalyptic number.

1238404440 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 1238404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466586080).

1238404440 is an abundant number, since it is smaller than the sum of its proper divisors (3694767720).

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

1238404440 is a wasteful number, since it uses less digits than its factorization.

1238404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 1238404440 is about 35190.9710010963. The cubic root of 1238404440 is about 1073.8760750174.

The spelling of 1238404440 in words is "one billion, two hundred thirty-eight million, four hundred four thousand, four hundred forty".