1000022400 has 288 divisors, whose sum is σ = 3844233120. Its totient is φ = 246067200.

The previous prime is 1000022393. The next prime is 1000022417. The reversal of 1000022400 is 42200001.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 373065 + ... + 375735.

Almost surely, 2^1000022400 is an apocalyptic number.

1000022400 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 1000022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922116560).

1000022400 is an abundant number, since it is smaller than the sum of its proper divisors (2844210720).

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

1000022400 is a wasteful number, since it uses less digits than its factorization.

1000022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1000022400 is about 31623.1307747984. The cubic root of 1000022400 is about 1000.0074666109.

Adding to 1000022400 its reverse (42200001), we get a palindrome (1042222401).

It can be divided in two parts, 10000 and 22400, that added together give a square (32400 = 180²).

The spelling of 1000022400 in words is "one billion, twenty-two thousand, four hundred".