945606400 has 108 divisors (see below), whose sum is σ = 2374629264. Its totient is φ = 372736000.

The previous prime is 945606391. The next prime is 945606413. The reversal of 945606400 is 4606549.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453360 + ... + 455440.

It is an arithmetic number, because the mean of its divisors is an integer number (21987308).

Almost surely, 2^945606400 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 945606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187314632).

945606400 is an abundant number, since it is smaller than the sum of its proper divisors (1429022864).

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

945606400 is a wasteful number, since it uses less digits than its factorization.

945606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 945606400 is about 30750.7138128532. The cubic root of 945606400 is about 981.5297502502.

The spelling of 945606400 in words is "nine hundred forty-five million, six hundred six thousand, four hundred".