613404288 has 384 divisors, whose sum is σ = 2170396800. Its totient is φ = 162570240.

The previous prime is 613404283. The next prime is 613404313. The reversal of 613404288 is 882404316.

It is a Cunningham number, because it is equal to 24767²-1.

It is a tau number, because it is divible by the number of its divisors (384).

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 (613404283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10055778 + ... + 10055838.

It is an arithmetic number, because the mean of its divisors is an integer number (5652075).

Almost surely, 2^613404288 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 613404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085198400).

613404288 is an abundant number, since it is smaller than the sum of its proper divisors (1556992512).

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

613404288 is a wasteful number, since it uses less digits than its factorization.

613404288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 613404288 is about 24766.9999798118. Note that the first 4 decimals coincide. The cubic root of 613404288 is about 849.6673614225.

The spelling of 613404288 in words is "six hundred thirteen million, four hundred four thousand, two hundred eighty-eight".