1022400 has 126 divisors (see below), whose sum is σ = 3685032. Its totient is φ = 268800.

The previous prime is 1022389. The next prime is 1022429. The reversal of 1022400 is 42201.

1022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14365 + ... + 14435.

2^1022400 is an apocalyptic number.

1022400 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 1022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842516).

1022400 is an abundant number, since it is smaller than the sum of its proper divisors (2662632).

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

1022400 is a wasteful number, since it uses less digits than its factorization.

1022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

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

The square root of 1022400 is about 1011.1379727812. The cubic root of 1022400 is about 100.7411599154.

Adding to 1022400 its reverse (42201), we get a palindrome (1064601).

The spelling of 1022400 in words is "one million, twenty-two thousand, four hundred".