1005420360 has 256 divisors, whose sum is σ = 3548160000. Its totient is φ = 223202304.

The previous prime is 1005420337. The next prime is 1005420373. The reversal of 1005420360 is 630245001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7233171 + ... + 7233309.

It is an arithmetic number, because the mean of its divisors is an integer number (13860000).

Almost surely, 2^1005420360 is an apocalyptic number.

1005420360 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 1005420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774080000).

1005420360 is an abundant number, since it is smaller than the sum of its proper divisors (2542739640).

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

1005420360 is a wasteful number, since it uses less digits than its factorization.

1005420360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1005420360 is about 31708.3641962180. The cubic root of 1005420360 is about 1001.8035319836.

Adding to 1005420360 its reverse (630245001), we get a palindrome (1635665361).

The spelling of 1005420360 in words is "one billion, five million, four hundred twenty thousand, three hundred sixty".