613788480 has 168 divisors, whose sum is σ = 2184273000. Its totient is φ = 158011392.

The previous prime is 613788431. The next prime is 613788481. The reversal of 613788480 is 84887316.

613788480 is a `hidden beast` number, since 61 + 37 + 88 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106998336 + 506790144 = 10344^2 + 22512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613788481) 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, 79846 + ... + 87194.

It is an arithmetic number, because the mean of its divisors is an integer number (13001625).

Almost surely, 2^613788480 is an apocalyptic number.

613788480 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 613788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092136500).

613788480 is an abundant number, since it is smaller than the sum of its proper divisors (1570484520).

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

613788480 is a wasteful number, since it uses less digits than its factorization.

613788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7401 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 613788480 is about 24774.7548928340. The cubic root of 613788480 is about 849.8447144240.

The spelling of 613788480 in words is "six hundred thirteen million, seven hundred eighty-eight thousand, four hundred eighty".