945939456 has 528 divisors, whose sum is σ = 3596955648. Its totient is φ = 232243200.

The previous prime is 945939451. The next prime is 945939457. The reversal of 945939456 is 654939549.

945939456 is a `hidden beast` number, since 9 + 4 + 593 + 9 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945939451) 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, 21998571 + ... + 21998613.

It is an arithmetic number, because the mean of its divisors is an integer number (6812416).

Almost surely, 2^945939456 is an apocalyptic number.

945939456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798477824).

945939456 is an abundant number, since it is smaller than the sum of its proper divisors (2651016192).

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

945939456 is a wasteful number, since it uses less digits than its factorization.

945939456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 945939456 is about 30756.1287550953. The cubic root of 945939456 is about 981.6449729616.

The spelling of 945939456 in words is "nine hundred forty-five million, nine hundred thirty-nine thousand, four hundred fifty-six".