609448320 has 256 divisors, whose sum is σ = 2325355200. Its totient is φ = 149962752.

The previous prime is 609448303. The next prime is 609448373. The reversal of 609448320 is 23844906.

It is a happy number.

609448320 is a `hidden beast` number, since 609 + 4 + 48 + 3 + 2 + 0 = 666.

It is a super-4 number, since 4×609448320⁴ (a number of 36 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223284 + ... + 225996.

Almost surely, 2^609448320 is an apocalyptic number.

609448320 is a gapful number since it is divisible by the number (60) 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 609448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162677600).

609448320 is an abundant number, since it is smaller than the sum of its proper divisors (1715906880).

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

609448320 is a wasteful number, since it uses less digits than its factorization.

609448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 609448320 is about 24687.0071090037. The cubic root of 609448320 is about 847.8368619366.

The spelling of 609448320 in words is "six hundred nine million, four hundred forty-eight thousand, three hundred twenty".