1005407841 has 16 divisors (see below), whose sum is σ = 1385422848. Its totient is φ = 647883600.

The previous prime is 1005407807. The next prime is 1005407867. The reversal of 1005407841 is 1487045001.

It is not a de Polignac number, because 1005407841 - 2⁷ = 1005407713 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005407799 and 1005407808.

It is not an unprimeable number, because it can be changed into a prime (1005407891) 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, 78790 + ... + 90656.

It is an arithmetic number, because the mean of its divisors is an integer number (86588928).

Almost surely, 2^1005407841 is an apocalyptic number.

It is an amenable number.

1005407841 is a deficient number, since it is larger than the sum of its proper divisors (380015007).

1005407841 is a wasteful number, since it uses less digits than its factorization.

1005407841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1005407841 is about 31708.1667871228. The cubic root of 1005407841 is about 1001.7993739780.

The spelling of 1005407841 in words is "one billion, five million, four hundred seven thousand, eight hundred forty-one".