1005000420 has 48 divisors (see below), whose sum is σ = 2816831808. Its totient is φ = 267730560.

The previous prime is 1005000397. The next prime is 1005000427. The reversal of 1005000420 is 240005001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1005000396 and 1005000405.

It is not an unprimeable number, because it can be changed into a prime (1005000427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55767 + ... + 71553.

It is an arithmetic number, because the mean of its divisors is an integer number (58683996).

Almost surely, 2^1005000420 is an apocalyptic number.

1005000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005000420 is an abundant number, since it is smaller than the sum of its proper divisors (1811831388).

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

1005000420 is a wasteful number, since it uses less digits than its factorization.

1005000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16860 (or 16858 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1005000420 is about 31701.7415925372. The cubic root of 1005000420 is about 1001.6640361146.

Adding to 1005000420 its reverse (240005001), we get a palindrome (1245005421).

The spelling of 1005000420 in words is "one billion, five million, four hundred twenty", and thus it is an aban number.