1382256900 has 252 divisors, whose sum is σ = 4580439472. Its totient is φ = 361817280.

The previous prime is 1382256881. The next prime is 1382256913. The reversal of 1382256900 is 96522831.

1382256900 is a `hidden beast` number, since 13 + 82 + 2 + 569 + 0 + 0 = 666.

It is a super-2 number, since 2×1382256900² = 3821268275195220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4884159 + ... + 4884441.

Almost surely, 2^1382256900 is an apocalyptic number.

1382256900 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 1382256900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290219736).

1382256900 is an abundant number, since it is smaller than the sum of its proper divisors (3198182572).

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

1382256900 is a wasteful number, since it uses less digits than its factorization.

1382256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1382256900 is about 37178.7156851874. The cubic root of 1382256900 is about 1113.9428805831.

The spelling of 1382256900 in words is "one billion, three hundred eighty-two million, two hundred fifty-six thousand, nine hundred".