4097846952 has 72 divisors (see below), whose sum is σ = 11174313150. Its totient is φ = 1356660864.

The previous prime is 4097846891. The next prime is 4097846953. The reversal of 4097846952 is 2596487904.

4097846952 is a `hidden beast` number, since 40 + 97 + 8 + 469 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3407523876 + 690323076 = 58374^2 + 26274^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4097846953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1773574 + ... + 1775882.

Almost surely, 2^4097846952 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 4097846952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587156575).

4097846952 is an abundant number, since it is smaller than the sum of its proper divisors (7076466198).

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

4097846952 is a wasteful number, since it uses less digits than its factorization.

4097846952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4097846952 is about 64014.4276862646. The cubic root of 4097846952 is about 1600.2404524040.

The spelling of 4097846952 in words is "four billion, ninety-seven million, eight hundred forty-six thousand, nine hundred fifty-two".