978321456 has 240 divisors, whose sum is σ = 3303583200. Its totient is φ = 276369408.

The previous prime is 978321431. The next prime is 978321473. The reversal of 978321456 is 654123879.

It is a super-3 number, since 3×978321456³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2391780 + ... + 2392188.

It is an arithmetic number, because the mean of its divisors is an integer number (13764930).

Almost surely, 2^978321456 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 978321456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651791600).

978321456 is an abundant number, since it is smaller than the sum of its proper divisors (2325261744).

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

978321456 is a wasteful number, since it uses less digits than its factorization.

978321456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 978321456 is about 31278.1306346783. The cubic root of 978321456 is about 992.7209628432.

The spelling of 978321456 in words is "nine hundred seventy-eight million, three hundred twenty-one thousand, four hundred fifty-six".