398615616 has 168 divisors, whose sum is σ = 1319215040. Its totient is φ = 112720896.

The previous prime is 398615587. The next prime is 398615617. The reversal of 398615616 is 616516893.

398615616 is a `hidden beast` number, since 3 + 9 + 86 + 1 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (398615617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439035 + ... + 439941.

Almost surely, 2^398615616 is an apocalyptic number.

398615616 is a gapful number since it is divisible by the number (36) 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 398615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659607520).

398615616 is an abundant number, since it is smaller than the sum of its proper divisors (920599424).

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

398615616 is a wasteful number, since it uses less digits than its factorization.

398615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1028 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 398615616 is about 19965.3604024571. The cubic root of 398615616 is about 735.9552981672.

The spelling of 398615616 in words is "three hundred ninety-eight million, six hundred fifteen thousand, six hundred sixteen".