1422736400 has 60 divisors (see below), whose sum is σ = 3423931524. Its totient is φ = 568128000.

The previous prime is 1422736391. The next prime is 1422736417. The reversal of 1422736400 is 46372241.

It can be written as a sum of positive squares in 6 ways, for example, as 7772944 + 1414963456 = 2788^2 + 37616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261710 + ... + 267090.

Almost surely, 2^1422736400 is an apocalyptic number.

1422736400 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 1422736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711965762).

1422736400 is an abundant number, since it is smaller than the sum of its proper divisors (2001195124).

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

1422736400 is a wasteful number, since it uses less digits than its factorization.

1422736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 1422736400 is about 37719.1781458716. The cubic root of 1422736400 is about 1124.7123939696.

The spelling of 1422736400 in words is "one billion, four hundred twenty-two million, seven hundred thirty-six thousand, four hundred".