1609057440 has 288 divisors, whose sum is σ = 5782311360. Its totient is φ = 417867264.

The previous prime is 1609057409. The next prime is 1609057441. The reversal of 1609057440 is 447509061.

1609057440 is a `hidden beast` number, since 1 + 609 + 0 + 5 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1609057395 and 1609057404.

It is not an unprimeable number, because it can be changed into a prime (1609057441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15037867 + ... + 15037973.

It is an arithmetic number, because the mean of its divisors is an integer number (20077470).

Almost surely, 2^1609057440 is an apocalyptic number.

1609057440 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 1609057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891155680).

1609057440 is an abundant number, since it is smaller than the sum of its proper divisors (4173253920).

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

1609057440 is a wasteful number, since it uses less digits than its factorization.

1609057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1609057440 is about 40113.0582229777. The cubic root of 1609057440 is about 1171.8099533816.

The spelling of 1609057440 in words is "one billion, six hundred nine million, fifty-seven thousand, four hundred forty".