1388552000 has 224 divisors, whose sum is σ = 3879982080. Its totient is φ = 487680000.

The previous prime is 1388551979. The next prime is 1388552003. The reversal of 1388552000 is 2558831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388552003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2727746 + ... + 2728254.

Almost surely, 2^1388552000 is an apocalyptic number.

1388552000 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 1388552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939991040).

1388552000 is an abundant number, since it is smaller than the sum of its proper divisors (2491430080).

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

1388552000 is a wasteful number, since it uses less digits than its factorization.

1388552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 1388552000 is about 37263.2795121417. The cubic root of 1388552000 is about 1115.6313663664.

The spelling of 1388552000 in words is "one billion, three hundred eighty-eight million, five hundred fifty-two thousand".