163309440 has 256 divisors, whose sum is σ = 616896000. Its totient is φ = 35954688.

The previous prime is 163309403. The next prime is 163309441. The reversal of 163309440 is 44903361.

It is a super-2 number, since 2×163309440² = 53339946386227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 163309398 and 163309407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163309441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389551 + ... + 389969.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^163309440 is an apocalyptic number.

163309440 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 163309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

163309440 is an abundant number, since it is smaller than the sum of its proper divisors (453586560).

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

163309440 is a wasteful number, since it uses less digits than its factorization.

163309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 163309440 is about 12779.2581944337. The cubic root of 163309440 is about 546.6010100273.

The spelling of 163309440 in words is "one hundred sixty-three million, three hundred nine thousand, four hundred forty".