1609146400 has 72 divisors (see below), whose sum is σ = 3935255940. Its totient is φ = 642524160.

The previous prime is 1609146397. The next prime is 1609146421. The reversal of 1609146400 is 46419061.

It can be written as a sum of positive squares in 6 ways, for example, as 30514576 + 1578631824 = 5524^2 + 39732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565782 + ... + 568618.

Almost surely, 2^1609146400 is an apocalyptic number.

1609146400 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 1609146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967627970).

1609146400 is an abundant number, since it is smaller than the sum of its proper divisors (2326109540).

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

1609146400 is a wasteful number, since it uses less digits than its factorization.

1609146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1609146400 is about 40114.1670734916. The cubic root of 1609146400 is about 1171.8315482793.

The spelling of 1609146400 in words is "one billion, six hundred nine million, one hundred forty-six thousand, four hundred".