978294306 has 64 divisors (see below), whose sum is σ = 2252044800. Its totient is φ = 280195200.

The previous prime is 978294203. The next prime is 978294307. The reversal of 978294306 is 603492879.

978294306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (978294307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865950 + ... + 867078.

It is an arithmetic number, because the mean of its divisors is an integer number (35188200).

Almost surely, 2^978294306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978294306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126022400).

978294306 is an abundant number, since it is smaller than the sum of its proper divisors (1273750494).

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

978294306 is a wasteful number, since it uses less digits than its factorization.

978294306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855.

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 978294306 is about 31277.6966223538. The cubic root of 978294306 is about 992.7117795550.

The spelling of 978294306 in words is "nine hundred seventy-eight million, two hundred ninety-four thousand, three hundred six".