945454752 has 288 divisors, whose sum is σ = 3120586560. Its totient is φ = 268800000.

The previous prime is 945454751. The next prime is 945454759. The reversal of 945454752 is 257454549.

945454752 is a `hidden beast` number, since 9 + 4 + 54 + 547 + 52 = 666.

945454752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 945454698 and 945454707.

It is not an unprimeable number, because it can be changed into a prime (945454751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3766627 + ... + 3766877.

It is an arithmetic number, because the mean of its divisors is an integer number (10835370).

Almost surely, 2^945454752 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 945454752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560293280).

945454752 is an abundant number, since it is smaller than the sum of its proper divisors (2175131808).

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

945454752 is a wasteful number, since it uses less digits than its factorization.

945454752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 945454752 is about 30748.2479500865. The cubic root of 945454752 is about 981.4772777552.

The spelling of 945454752 in words is "nine hundred forty-five million, four hundred fifty-four thousand, seven hundred fifty-two".