1389866400 has 432 divisors, whose sum is σ = 5459650560. Its totient is φ = 330393600.

The previous prime is 1389866389. The next prime is 1389866411. The reversal of 1389866400 is 46689831.

It is an interprime number because it is at equal distance from previous prime (1389866389) and next prime (1389866411).

It is a super-3 number, since 3×1389866400³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2901361 + ... + 2901839.

It is an arithmetic number, because the mean of its divisors is an integer number (12638080).

Almost surely, 2^1389866400 is an apocalyptic number.

1389866400 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 1389866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

1389866400 is an abundant number, since it is smaller than the sum of its proper divisors (4069784160).

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

1389866400 is a wasteful number, since it uses less digits than its factorization.

1389866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1389866400 is about 37280.9120060119. The cubic root of 1389866400 is about 1115.9832733455.

The spelling of 1389866400 in words is "one billion, three hundred eighty-nine million, eight hundred sixty-six thousand, four hundred".