1238426400 has 144 divisors (see below), whose sum is σ = 4080301344. Its totient is φ = 326215680.

The previous prime is 1238426377. The next prime is 1238426401. The reversal of 1238426400 is 46248321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1238426401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196092 + ... + 202308.

It is an arithmetic number, because the mean of its divisors is an integer number (28335426).

Almost surely, 2^1238426400 is an apocalyptic number.

1238426400 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 1238426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040150672).

1238426400 is an abundant number, since it is smaller than the sum of its proper divisors (2841874944).

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

1238426400 is a wasteful number, since it uses less digits than its factorization.

1238426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1238426400 is about 35191.2830115641. The cubic root of 1238426400 is about 1073.8824224804.

The spelling of 1238426400 in words is "one billion, two hundred thirty-eight million, four hundred twenty-six thousand, four hundred".