972484048 has 40 divisors (see below), whose sum is σ = 2013386760. Its totient is φ = 453427200.

The previous prime is 972484033. The next prime is 972484067. The reversal of 972484048 is 840484279.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 183548304 + 788935744 = 13548^2 + 28088^2 .

It is a super-2 number, since 2×972484048² = 1891450447228932608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972483989 and 972484007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13248 + ... + 46048.

It is an arithmetic number, because the mean of its divisors is an integer number (50334669).

Almost surely, 2^972484048 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 972484048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006693380).

972484048 is an abundant number, since it is smaller than the sum of its proper divisors (1040902712).

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

972484048 is a wasteful number, since it uses less digits than its factorization.

972484048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32935 (or 32929 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 972484048 is about 31184.6764934318. The cubic root of 972484048 is about 990.7425806398.

The spelling of 972484048 in words is "nine hundred seventy-two million, four hundred eighty-four thousand, forty-eight".