1005422400 has 126 divisors (see below), whose sum is σ = 3573559782. Its totient is φ = 268108800.

The previous prime is 1005422389. The next prime is 1005422401. The reversal of 1005422400 is 42245001.

1005422400 is a `hidden beast` number, since 100 + 542 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 278784 + 1005143616 = 528^2 + 31704^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005422401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20511 + ... + 49310.

Almost surely, 2^1005422400 is an apocalyptic number.

1005422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005422400 is an abundant number, since it is smaller than the sum of its proper divisors (2568137382).

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

1005422400 is a wasteful number, since it uses less digits than its factorization.

1005422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69849 (or 69831 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1005422400 is about 31708.3963643701. The cubic root of 1005422400 is about 1001.8042095369.

Adding to 1005422400 its reverse (42245001), we get a palindrome (1047667401).

The spelling of 1005422400 in words is "one billion, five million, four hundred twenty-two thousand, four hundred".