978286464 has 256 divisors, whose sum is σ = 3069792000. Its totient is φ = 306173952.

The previous prime is 978286453. The next prime is 978286489. The reversal of 978286464 is 464682879.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 978286464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4309519 + ... + 4309745.

It is an arithmetic number, because the mean of its divisors is an integer number (11991375).

Almost surely, 2^978286464 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 978286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534896000).

978286464 is an abundant number, since it is smaller than the sum of its proper divisors (2091505536).

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

978286464 is a wasteful number, since it uses less digits than its factorization.

978286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 978286464 is about 31277.5712612089. The cubic root of 978286464 is about 992.7091270245.

The spelling of 978286464 in words is "nine hundred seventy-eight million, two hundred eighty-six thousand, four hundred sixty-four".