1005040420 has 24 divisors (see below), whose sum is σ = 2116578744. Its totient is φ = 400874496.

The previous prime is 1005040417. The next prime is 1005040427. The reversal of 1005040420 is 240405001.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 999950884 = 2256^2 + 31622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1005040394 and 1005040403.

It is not an unprimeable number, because it can be changed into a prime (1005040427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64119 + ... + 78238.

It is an arithmetic number, because the mean of its divisors is an integer number (88190781).

Almost surely, 2^1005040420 is an apocalyptic number.

1005040420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005040420 is an abundant number, since it is smaller than the sum of its proper divisors (1111538324).

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

1005040420 is a wasteful number, since it uses less digits than its factorization.

1005040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142719 (or 142717 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1005040420 is about 31702.3724664259. The cubic root of 1005040420 is about 1001.6773250078.

Adding to 1005040420 its reverse (240405001), we get a palindrome (1245445421).

The spelling of 1005040420 in words is "one billion, five million, forty thousand, four hundred twenty".