609272352 has 144 divisors (see below), whose sum is σ = 1875241368. Its totient is φ = 186531840.

The previous prime is 609272309. The next prime is 609272353. The reversal of 609272352 is 253272906.

609272352 is a `hidden beast` number, since 609 + 27 + 23 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 340181136 + 269091216 = 18444^2 + 16404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×609272352² = 742425597823223808, which contains 22 as substring.

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 (609272353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321402 + ... + 1321862.

Almost surely, 2^609272352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609272352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937620684).

609272352 is an abundant number, since it is smaller than the sum of its proper divisors (1265969016).

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

609272352 is a wasteful number, since it uses less digits than its factorization.

609272352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 609272352 is about 24683.4428716903. The cubic root of 609272352 is about 847.7552545150.

The spelling of 609272352 in words is "six hundred nine million, two hundred seventy-two thousand, three hundred fifty-two".