945689472 has 512 divisors, whose sum is σ = 3582566400. Its totient is φ = 238878720.

The previous prime is 945689461. The next prime is 945689473. The reversal of 945689472 is 274986549.

945689472 is a `hidden beast` number, since 9 + 4 + 568 + 9 + 4 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945689473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9749328 + ... + 9749424.

It is an arithmetic number, because the mean of its divisors is an integer number (6997200).

Almost surely, 2^945689472 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 945689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791283200).

945689472 is an abundant number, since it is smaller than the sum of its proper divisors (2636876928).

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

945689472 is a wasteful number, since it uses less digits than its factorization.

945689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

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

The square root of 945689472 is about 30752.0645160614. The cubic root of 945689472 is about 981.5584920367.

The spelling of 945689472 in words is "nine hundred forty-five million, six hundred eighty-nine thousand, four hundred seventy-two".