616300440 has 192 divisors, whose sum is σ = 2164203360. Its totient is φ = 139991040.

The previous prime is 616300403. The next prime is 616300441. The reversal of 616300440 is 44003616.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 616300440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616300441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1652094 + ... + 1652466.

Almost surely, 2^616300440 is an apocalyptic number.

616300440 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 616300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082101680).

616300440 is an abundant number, since it is smaller than the sum of its proper divisors (1547902920).

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

616300440 is a wasteful number, since it uses less digits than its factorization.

616300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 616300440 is about 24825.3990904477. The cubic root of 616300440 is about 851.0024804275.

The spelling of 616300440 in words is "six hundred sixteen million, three hundred thousand, four hundred forty".