1380182400 has 288 divisors, whose sum is σ = 5216351400. Its totient is φ = 346275840.

The previous prime is 1380182393. The next prime is 1380182411. The reversal of 1380182400 is 42810831.

1380182400 is a `hidden beast` number, since 1 + 3 + 80 + 182 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 488191 + ... + 491009.

Almost surely, 2^1380182400 is an apocalyptic number.

1380182400 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 1380182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608175700).

1380182400 is an abundant number, since it is smaller than the sum of its proper divisors (3836169000).

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

1380182400 is a wasteful number, since it uses less digits than its factorization.

1380182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1380182400 is about 37150.8061823697. The cubic root of 1380182400 is about 1113.3853306976.

The spelling of 1380182400 in words is "one billion, three hundred eighty million, one hundred eighty-two thousand, four hundred".