1387904400 has 360 divisors, whose sum is σ = 5145117120. Its totient is φ = 345461760.

The previous prime is 1387904369. The next prime is 1387904423. The reversal of 1387904400 is 44097831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7045102 + ... + 7045298.

It is an arithmetic number, because the mean of its divisors is an integer number (14291992).

Almost surely, 2^1387904400 is an apocalyptic number.

1387904400 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 1387904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572558560).

1387904400 is an abundant number, since it is smaller than the sum of its proper divisors (3757212720).

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

1387904400 is a wasteful number, since it uses less digits than its factorization.

1387904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1387904400 is about 37254.5889790775. The cubic root of 1387904400 is about 1115.4579014379.

The spelling of 1387904400 in words is "one billion, three hundred eighty-seven million, nine hundred four thousand, four hundred".