978309252 has 84 divisors (see below), whose sum is σ = 2590475580. Its totient is φ = 323108352.

The previous prime is 978309223. The next prime is 978309263. The reversal of 978309252 is 252903879.

978309252 is a `hidden beast` number, since 97 + 8 + 309 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10850436 + 967458816 = 3294^2 + 31104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 978309198 and 978309207.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 328024 + ... + 330992.

It is an arithmetic number, because the mean of its divisors is an integer number (30838995).

Almost surely, 2^978309252 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 978309252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295237790).

978309252 is an abundant number, since it is smaller than the sum of its proper divisors (1612166328).

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

978309252 is a wasteful number, since it uses less digits than its factorization.

978309252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 978309252 is about 31277.9355456846. The cubic root of 978309252 is about 992.7168349508.

The spelling of 978309252 in words is "nine hundred seventy-eight million, three hundred nine thousand, two hundred fifty-two".