1005421600 has 36 divisors (see below), whose sum is σ = 2454487434. Its totient is φ = 402168320.

The previous prime is 1005421583. The next prime is 1005421601. The reversal of 1005421600 is 61245001.

It can be written as a sum of positive squares in 3 ways, for example, as 923916816 + 81504784 = 30396^2 + 9028^2 .

It is not an unprimeable number, because it can be changed into a prime (1005421601) 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, 627589 + ... + 629188.

Almost surely, 2^1005421600 is an apocalyptic number.

1005421600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005421600 is an abundant number, since it is smaller than the sum of its proper divisors (1449065834).

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

1005421600 is a wasteful number, since it uses less digits than its factorization.

1005421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256797 (or 1256784 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1005421600 is about 31708.3837494124. The cubic root of 1005421600 is about 1001.8039438299.

Adding to 1005421600 its reverse (61245001), we get a palindrome (1066666601).

The spelling of 1005421600 in words is "one billion, five million, four hundred twenty-one thousand, six hundred".