945533952 has 176 divisors, whose sum is σ = 3055761600. Its totient is φ = 286433280.

The previous prime is 945533899. The next prime is 945533957. The reversal of 945533952 is 259335549.

945533952 is a `hidden beast` number, since 9 + 4 + 553 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 945533898 and 945533907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945533957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302574 + ... + 305682.

Almost surely, 2^945533952 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 945533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527880800).

945533952 is an abundant number, since it is smaller than the sum of its proper divisors (2110227648).

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

945533952 is a wasteful number, since it uses less digits than its factorization.

945533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3125 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The square root of 945533952 is about 30749.5358013743. The cubic root of 945533952 is about 981.5046828495.

The spelling of 945533952 in words is "nine hundred forty-five million, five hundred thirty-three thousand, nine hundred fifty-two".