616498400 has 108 divisors (see below), whose sum is σ = 1750856688. Its totient is φ = 211357440.

The previous prime is 616498397. The next prime is 616498411. The reversal of 616498400 is 4894616.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 31337 + ... + 47063.

It is an arithmetic number, because the mean of its divisors is an integer number (16211636).

Almost surely, 2^616498400 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 616498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875428344).

616498400 is an abundant number, since it is smaller than the sum of its proper divisors (1134358288).

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

616498400 is a wasteful number, since it uses less digits than its factorization.

616498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15761 (or 15741 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 616498400 is about 24829.3858160044. The cubic root of 616498400 is about 851.0935866510.

The spelling of 616498400 in words is "six hundred sixteen million, four hundred ninety-eight thousand, four hundred".