1381794400 has 144 divisors (see below), whose sum is σ = 3875751936. Its totient is φ = 471237120.

The previous prime is 1381794389. The next prime is 1381794409. The reversal of 1381794400 is 44971831.

It is a self number, because there is not a number n which added to its sum of digits gives 1381794400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381794409) 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 23 ways as a sum of consecutive naturals, for example, 1270657 + ... + 1271743.

It is an arithmetic number, because the mean of its divisors is an integer number (26914944).

Almost surely, 2^1381794400 is an apocalyptic number.

1381794400 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 1381794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937875968).

1381794400 is an abundant number, since it is smaller than the sum of its proper divisors (2493957536).

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

1381794400 is a wasteful number, since it uses less digits than its factorization.

1381794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1381794400 is about 37172.4952081509. The cubic root of 1381794400 is about 1113.8186258096.

The spelling of 1381794400 in words is "one billion, three hundred eighty-one million, seven hundred ninety-four thousand, four hundred".