1386002400 has 144 divisors (see below), whose sum is σ = 4530210048. Its totient is φ = 368064000.

The previous prime is 1386002393. The next prime is 1386002407. The reversal of 1386002400 is 42006831.

It is a happy number.

1386002400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1386002393) and next prime (1386002407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386002407) 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, 649335 + ... + 651465.

It is an arithmetic number, because the mean of its divisors is an integer number (31459792).

Almost surely, 2^1386002400 is an apocalyptic number.

1386002400 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 1386002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265105024).

1386002400 is an abundant number, since it is smaller than the sum of its proper divisors (3144207648).

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

1386002400 is a wasteful number, since it uses less digits than its factorization.

1386002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1386002400 is about 37229.0531708772. The cubic root of 1386002400 is about 1114.9481230933.

The spelling of 1386002400 in words is "one billion, three hundred eighty-six million, two thousand, four hundred".