978463008 has 72 divisors (see below), whose sum is σ = 2788272396. Its totient is φ = 325478400.

The previous prime is 978462983. The next prime is 978463081. The reversal of 978463008 is 800364879.

It is a happy number.

978463008 is a `hidden beast` number, since 9 + 7 + 8 + 4 + 630 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 957778704 + 20684304 = 30948^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 146788 + ... + 153308.

Almost surely, 2^978463008 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 978463008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394136198).

978463008 is an abundant number, since it is smaller than the sum of its proper divisors (1809809388).

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

978463008 is a wasteful number, since it uses less digits than its factorization.

978463008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 978463008 is about 31280.3933479104. The cubic root of 978463008 is about 992.7688390159.

The spelling of 978463008 in words is "nine hundred seventy-eight million, four hundred sixty-three thousand, eight".