1387411200 has 864 divisors, whose sum is σ = 6164049920. Its totient is φ = 298598400.

The previous prime is 1387411171. The next prime is 1387411219. The reversal of 1387411200 is 21147831.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37497582 + ... + 37497618.

Almost surely, 2^1387411200 is an apocalyptic number.

1387411200 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 1387411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082024960).

1387411200 is an abundant number, since it is smaller than the sum of its proper divisors (4776638720).

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

1387411200 is a wasteful number, since it uses less digits than its factorization.

1387411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1387411200 is about 37247.9690721521. The cubic root of 1387411200 is about 1115.3257576064.

Subtracting from 1387411200 its reverse (21147831), we obtain a square (1366263369 = 36963²).

The spelling of 1387411200 in words is "one billion, three hundred eighty-seven million, four hundred eleven thousand, two hundred".