978316416 has 384 divisors, whose sum is σ = 3608841600. Its totient is φ = 246988800.

The previous prime is 978316411. The next prime is 978316483. The reversal of 978316416 is 614613879.

It is a happy number.

978316416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (978316411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3636730 + ... + 3636998.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2^978316416 is an apocalyptic number.

978316416 is a gapful number since it is divisible by the number (96) 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 978316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804420800).

978316416 is an abundant number, since it is smaller than the sum of its proper divisors (2630525184).

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

978316416 is a wasteful number, since it uses less digits than its factorization.

978316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 978316416 is about 31278.0500670998. The cubic root of 978316416 is about 992.7192581130.

The spelling of 978316416 in words is "nine hundred seventy-eight million, three hundred sixteen thousand, four hundred sixteen".