949806000 has 800 divisors, whose sum is σ = 4128860736. Its totient is φ = 207360000.

The previous prime is 949805981. The next prime is 949806001. The reversal of 949806000 is 608949.

949806000 is a `hidden beast` number, since 9 + 49 + 8 + 0 + 600 + 0 = 666.

949806000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (949806001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23165980 + ... + 23166020.

Almost surely, 2^949806000 is an apocalyptic number.

949806000 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 949806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064430368).

949806000 is an abundant number, since it is smaller than the sum of its proper divisors (3179054736).

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

949806000 is a wasteful number, since it uses less digits than its factorization.

949806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 949806000 is about 30818.9227585910. The cubic root of 949806000 is about 982.9806517153.

The spelling of 949806000 in words is "nine hundred forty-nine million, eight hundred six thousand".