616200480 has 576 divisors, whose sum is σ = 2606204160. Its totient is φ = 135475200.

The previous prime is 616200461. The next prime is 616200517. The reversal of 616200480 is 84002616.

616200480 is a `hidden beast` number, since 616 + 2 + 0 + 0 + 48 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8678845 + ... + 8678915.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^616200480 is an apocalyptic number.

616200480 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 616200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303102080).

616200480 is an abundant number, since it is smaller than the sum of its proper divisors (1990003680).

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

616200480 is a wasteful number, since it uses less digits than its factorization.

616200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 616200480 is about 24823.3857481207. The cubic root of 616200480 is about 850.9564688819.

The spelling of 616200480 in words is "six hundred sixteen million, two hundred thousand, four hundred eighty".