1422158400 has 504 divisors, whose sum is σ = 5571768384. Its totient is φ = 341913600.

The previous prime is 1422158377. The next prime is 1422158447. The reversal of 1422158400 is 48512241.

1422158400 is a `hidden beast` number, since 1 + 42 + 215 + 8 + 400 = 666.

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 71 ways as a sum of consecutive naturals, for example, 13291147 + ... + 13291253.

It is an arithmetic number, because the mean of its divisors is an integer number (11055096).

Almost surely, 2^1422158400 is an apocalyptic number.

1422158400 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 1422158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785884192).

1422158400 is an abundant number, since it is smaller than the sum of its proper divisors (4149609984).

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

1422158400 is a wasteful number, since it uses less digits than its factorization.

1422158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1422158400 is about 37711.5154826745. The cubic root of 1422158400 is about 1124.5600650214.

The spelling of 1422158400 in words is "one billion, four hundred twenty-two million, one hundred fifty-eight thousand, four hundred".