978422400 has 288 divisors, whose sum is σ = 3562657020. Its totient is φ = 255590400.

The previous prime is 978422399. The next prime is 978422443. The reversal of 978422400 is 4224879.

978422400 = T₄₉₁ + T₄₉₂ + ... + T₁₈₁₅.

It can be written as a sum of positive squares in 6 ways, for example, as 685601856 + 292820544 = 26184^2 + 17112^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1526080 + ... + 1526720.

Almost surely, 2^978422400 is an apocalyptic number.

978422400 is a gapful number since it is divisible by the number (90) 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 978422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781328510).

978422400 is an abundant number, since it is smaller than the sum of its proper divisors (2584234620).

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

978422400 is a wasteful number, since it uses less digits than its factorization.

978422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 978422400 is about 31279.7442444787. The cubic root of 978422400 is about 992.7551049198.

The spelling of 978422400 in words is "nine hundred seventy-eight million, four hundred twenty-two thousand, four hundred".