978812352 has 336 divisors, whose sum is σ = 3408297984. Its totient is φ = 262656000.

The previous prime is 978812333. The next prime is 978812363. The reversal of 978812352 is 253218879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (241920) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 978812298 and 978812307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5124577 + ... + 5124767.

It is an arithmetic number, because the mean of its divisors is an integer number (10143744).

Almost surely, 2^978812352 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 978812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704148992).

978812352 is an abundant number, since it is smaller than the sum of its proper divisors (2429485632).

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

978812352 is a wasteful number, since it uses less digits than its factorization.

978812352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 978812352 is about 31285.9769225767. The cubic root of 978812352 is about 992.8869755107.

The spelling of 978812352 in words is "nine hundred seventy-eight million, eight hundred twelve thousand, three hundred fifty-two".