944946000 has 400 divisors, whose sum is σ = 3604560960. Its totient is φ = 237945600.

The previous prime is 944945993. The next prime is 944946017. The reversal of 944946000 is 649449.

944946000 is a `hidden beast` number, since 9 + 4 + 49 + 4 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 3077847 + ... + 3078153.

Almost surely, 2^944946000 is an apocalyptic number.

944946000 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 944946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802280480).

944946000 is an abundant number, since it is smaller than the sum of its proper divisors (2659614960).

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

944946000 is a wasteful number, since it uses less digits than its factorization.

944946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 944946000 is about 30739.9739752655. The cubic root of 944946000 is about 981.3012008930.

The spelling of 944946000 in words is "nine hundred forty-four million, nine hundred forty-six thousand".