945446400 has 360 divisors, whose sum is σ = 3512531880. Its totient is φ = 242565120.

The previous prime is 945446399. The next prime is 945446419. The reversal of 945446400 is 4644549.

945446400 is a `hidden beast` number, since 9 + 4 + 5 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3340659 + ... + 3340941.

It is an arithmetic number, because the mean of its divisors is an integer number (9757033).

Almost surely, 2^945446400 is an apocalyptic number.

945446400 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 945446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756265940).

945446400 is an abundant number, since it is smaller than the sum of its proper divisors (2567085480).

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

945446400 is a wasteful number, since it uses less digits than its factorization.

945446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 945446400 is about 30748.1121371703. The cubic root of 945446400 is about 981.4743876742.

The spelling of 945446400 in words is "nine hundred forty-five million, four hundred forty-six thousand, four hundred".