1022320400 has 60 divisors (see below), whose sum is σ = 2465449344. Its totient is φ = 407376000.

The previous prime is 1022320367. The next prime is 1022320417. The reversal of 1022320400 is 40232201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103685 + ... + 113115.

Almost surely, 2^1022320400 is an apocalyptic number.

1022320400 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 1022320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232724672).

1022320400 is an abundant number, since it is smaller than the sum of its proper divisors (1443128944).

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

1022320400 is a wasteful number, since it uses less digits than its factorization.

1022320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9720 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1022320400 is about 31973.7454796901. The cubic root of 1022320400 is about 1007.3854541211.

Adding to 1022320400 its reverse (40232201), we get a palindrome (1062552601).

The spelling of 1022320400 in words is "one billion, twenty-two million, three hundred twenty thousand, four hundred".