978109440 has 352 divisors, whose sum is σ = 3905086464. Its totient is φ = 202997760.

The previous prime is 978109439. The next prime is 978109453. The reversal of 978109440 is 44901879.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×978109440² = 1913396153234227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 978109392 and 978109401.

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, 1182307 + ... + 1183133.

Almost surely, 2^978109440 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 978109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952543232).

978109440 is an abundant number, since it is smaller than the sum of its proper divisors (2926977024).

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

978109440 is a wasteful number, since it uses less digits than its factorization.

978109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 978109440 is about 31274.7412459320. The cubic root of 978109440 is about 992.6492454704.

The spelling of 978109440 in words is "nine hundred seventy-eight million, one hundred nine thousand, four hundred forty".