1609042401 has 40 divisors (see below), whose sum is σ = 2552136840. Its totient is φ = 1006774272.

The previous prime is 1609042381. The next prime is 1609042427. The reversal of 1609042401 is 1042409061.

1609042401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 944640225 + 664402176 = 30735^2 + 25776^2 .

It is not a de Polignac number, because 1609042401 - 2²² = 1604848097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1609042471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 561765 + ... + 564621.

It is an arithmetic number, because the mean of its divisors is an integer number (63803421).

Almost surely, 2^1609042401 is an apocalyptic number.

It is an amenable number.

1609042401 is a deficient number, since it is larger than the sum of its proper divisors (943094439).

1609042401 is a wasteful number, since it uses less digits than its factorization.

1609042401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1609042401 is about 40112.8707648804. The cubic root of 1609042401 is about 1171.8063026097.

The spelling of 1609042401 in words is "one billion, six hundred nine million, forty-two thousand, four hundred one".