945806400 has 504 divisors, whose sum is σ = 4196023104. Its totient is φ = 196300800.

The previous prime is 945806399. The next prime is 945806417. The reversal of 945806400 is 4608549.

945806400 is a `hidden beast` number, since 9 + 4 + 5 + 8 + 0 + 640 + 0 = 666.

945806400 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 (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1108374 + ... + 1109226.

Almost surely, 2^945806400 is an apocalyptic number.

945806400 is a gapful number since it is divisible by the number (90) 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 945806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098011552).

945806400 is an abundant number, since it is smaller than the sum of its proper divisors (3250216704).

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

945806400 is a wasteful number, since it uses less digits than its factorization.

945806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 945806400 is about 30753.9655979518. The cubic root of 945806400 is about 981.5989446887.

The spelling of 945806400 in words is "nine hundred forty-five million, eight hundred six thousand, four hundred".