1389794400 has 324 divisors, whose sum is σ = 5090697612. Its totient is φ = 356590080.

The previous prime is 1389794381. The next prime is 1389794423. The reversal of 1389794400 is 44979831.

1389794400 is a `hidden beast` number, since 138 + 9 + 79 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 20743167 + ... + 20743233.

Almost surely, 2^1389794400 is an apocalyptic number.

1389794400 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 1389794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545348806).

1389794400 is an abundant number, since it is smaller than the sum of its proper divisors (3700903212).

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

1389794400 is a wasteful number, since it uses less digits than its factorization.

1389794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1389794400 is about 37279.9463518927. The cubic root of 1389794400 is about 1115.9640023846.

The spelling of 1389794400 in words is "one billion, three hundred eighty-nine million, seven hundred ninety-four thousand, four hundred".