613329472 has 84 divisors (see below), whose sum is σ = 1423158444. Its totient is φ = 261488640.

The previous prime is 613329463. The next prime is 613329491. The reversal of 613329472 is 274923316.

It can be written as a sum of positive squares in 2 ways, for example, as 284124736 + 329204736 = 16856^2 + 18144^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 805572 + ... + 806332.

Almost surely, 2^613329472 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 613329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711579222).

613329472 is an abundant number, since it is smaller than the sum of its proper divisors (809828972).

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

613329472 is a wasteful number, since it uses less digits than its factorization.

613329472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1027 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 613329472 is about 24765.4895368535. The cubic root of 613329472 is about 849.6328158006.

The spelling of 613329472 in words is "six hundred thirteen million, three hundred twenty-nine thousand, four hundred seventy-two".