613405440 has 144 divisors (see below), whose sum is σ = 2176860000. Its totient is φ = 163565568.

The previous prime is 613405439. The next prime is 613405451. The reversal of 613405440 is 44504316.

613405440 is a `hidden beast` number, since 613 + 4 + 0 + 5 + 4 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25686 + ... + 43434.

Almost surely, 2^613405440 is an apocalyptic number.

613405440 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 613405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088430000).

613405440 is an abundant number, since it is smaller than the sum of its proper divisors (1563454560).

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

613405440 is a wasteful number, since it uses less digits than its factorization.

613405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 613405440 is about 24767.0232365539. The cubic root of 613405440 is about 849.6678933263.

Adding to 613405440 its reverse (44504316), we get a palindrome (657909756).

The spelling of 613405440 in words is "six hundred thirteen million, four hundred five thousand, four hundred forty".