1005420520 has 128 divisors (see below), whose sum is σ = 2544675840. Its totient is φ = 355000320.

The previous prime is 1005420503. The next prime is 1005420541. The reversal of 1005420520 is 250245001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1563319 + ... + 1563961.

It is an arithmetic number, because the mean of its divisors is an integer number (19880280).

Almost surely, 2^1005420520 is an apocalyptic number.

1005420520 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 1005420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272337920).

1005420520 is an abundant number, since it is smaller than the sum of its proper divisors (1539255320).

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

1005420520 is a wasteful number, since it uses less digits than its factorization.

1005420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1005420520 is about 31708.3667192115. The cubic root of 1005420520 is about 1001.8035851251.

Adding to 1005420520 its reverse (250245001), we get a palindrome (1255665521).

The spelling of 1005420520 in words is "one billion, five million, four hundred twenty thousand, five hundred twenty".