609450240 has 432 divisors, whose sum is σ = 2348801280. Its totient is φ = 134184960.

The previous prime is 609450227. The next prime is 609450263. The reversal of 609450240 is 42054906.

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 = 609450198 and 609450207.

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 47 ways as a sum of consecutive naturals, for example, 7714521 + ... + 7714599.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^609450240 is an apocalyptic number.

609450240 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 609450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174400640).

609450240 is an abundant number, since it is smaller than the sum of its proper divisors (1739351040).

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

609450240 is a wasteful number, since it uses less digits than its factorization.

609450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 609450240 is about 24687.0459958254. The cubic root of 609450240 is about 847.8377522747.

The spelling of 609450240 in words is "six hundred nine million, four hundred fifty thousand, two hundred forty".