1022424400 has 30 divisors (see below), whose sum is σ = 2456375582. Its totient is φ = 408969600.

The previous prime is 1022424397. The next prime is 1022424407. The reversal of 1022424400 is 44242201.

It can be written as a sum of positive squares in 3 ways, for example, as 20322064 + 1002102336 = 4508^2 + 31656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022424407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1277631 + ... + 1278430.

Almost surely, 2^1022424400 is an apocalyptic number.

1022424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022424400 is an abundant number, since it is smaller than the sum of its proper divisors (1433951182).

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

1022424400 is a wasteful number, since it uses less digits than its factorization.

1022424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556079 (or 2556068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1022424400 is about 31975.3717726628. The cubic root of 1022424400 is about 1007.4196131886.

Adding to 1022424400 its reverse (44242201), we get a palindrome (1066666601).

The spelling of 1022424400 in words is "one billion, twenty-two million, four hundred twenty-four thousand, four hundred".