1609470720 has 432 divisors, whose sum is σ = 6548828832. Its totient is φ = 359792640.

The previous prime is 1609470719. The next prime is 1609470721. The reversal of 1609470720 is 270749061.

It is a happy number.

1609470720 is a `hidden beast` number, since 1 + 609 + 47 + 0 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1609470719) and next prime (1609470721).

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

It is not an unprimeable number, because it can be changed into a prime (1609470721) 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, 1646872 + ... + 1647848.

It is an arithmetic number, because the mean of its divisors is an integer number (15159326).

Almost surely, 2^1609470720 is an apocalyptic number.

1609470720 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 1609470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274414416).

1609470720 is an abundant number, since it is smaller than the sum of its proper divisors (4939358112).

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

1609470720 is a wasteful number, since it uses less digits than its factorization.

1609470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1609470720 is about 40118.2093319231. The cubic root of 1609470720 is about 1171.9102697012.

The spelling of 1609470720 in words is "one billion, six hundred nine million, four hundred seventy thousand, seven hundred twenty".