613416480 has 192 divisors, whose sum is σ = 1988945280. Its totient is φ = 158867456.

The previous prime is 613416473. The next prime is 613416521. The reversal of 613416480 is 84614316.

613416480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3545674 + ... + 3545846.

It is an arithmetic number, because the mean of its divisors is an integer number (10359090).

Almost surely, 2^613416480 is an apocalyptic number.

613416480 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 613416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994472640).

613416480 is an abundant number, since it is smaller than the sum of its proper divisors (1375528800).

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

613416480 is a wasteful number, since it uses less digits than its factorization.

613416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 613416480 is about 24767.2461125576. The cubic root of 613416480 is about 849.6729907038.

The spelling of 613416480 in words is "six hundred thirteen million, four hundred sixteen thousand, four hundred eighty".