1609042400 has 108 divisors (see below), whose sum is σ = 4569504408. Its totient is φ = 551658240.

The previous prime is 1609042381. The next prime is 1609042427. The reversal of 1609042400 is 42409061.

It is a self number, because there is not a number n which added to its sum of digits gives 1609042400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18677 + ... + 59723.

It is an arithmetic number, because the mean of its divisors is an integer number (42310226).

Almost surely, 2^1609042400 is an apocalyptic number.

1609042400 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 1609042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284752204).

1609042400 is an abundant number, since it is smaller than the sum of its proper divisors (2960462008).

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

1609042400 is a wasteful number, since it uses less digits than its factorization.

1609042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41081 (or 41061 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1609042400 is about 40112.8707524156. The cubic root of 1609042400 is about 1171.8063023670.

The spelling of 1609042400 in words is "one billion, six hundred nine million, forty-two thousand, four hundred".