1045885401 has 72 divisors (see below), whose sum is σ = 1729013832. Its totient is φ = 608256000.

The previous prime is 1045885397. The next prime is 1045885427.

1045885401 is a `hidden beast` number, since 104 + 5 + 8 + 8 + 540 + 1 = 666.

1045885401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 937829376 + 108056025 = 30624^2 + 10395^2 .

It is not a de Polignac number, because 1045885401 - 2² = 1045885397 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1045885481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4069465 + ... + 4069721.

It is an arithmetic number, because the mean of its divisors is an integer number (24014081).

Almost surely, 2^1045885401 is an apocalyptic number.

1045885401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1045885401 is a deficient number, since it is larger than the sum of its proper divisors (683128431).

1045885401 is a wasteful number, since it uses less digits than its factorization.

1045885401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1045885401 is about 32340.1515302572. The cubic root of 1045885401 is about 1015.0669796530.

It can be divided in two parts, 10458 and 85401, that added together give a palindrome (95859).

The spelling of 1045885401 in words is "one billion, forty-five million, eight hundred eighty-five thousand, four hundred one".