1022720400 has 405 divisors, whose sum is σ = 3939155337. Its totient is φ = 245606400.

The previous prime is 1022720393. The next prime is 1022720417. The reversal of 1022720400 is 40272201.

The square root of 1022720400 is 31980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 926837136 + 95883264 = 30444^2 + 9792^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24944380 + ... + 24944420.

Almost surely, 2^1022720400 is an apocalyptic number.

1022720400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022720400 is the 31980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022720400

1022720400 is an abundant number, since it is smaller than the sum of its proper divisors (2916434937).

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

1022720400 is a wasteful number, since it uses less digits than its factorization.

1022720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The cubic root of 1022720400 is about 1007.5168224732.

Adding to 1022720400 its reverse (40272201), we get a palindrome (1062992601).

The spelling of 1022720400 in words is "one billion, twenty-two million, seven hundred twenty thousand, four hundred".