949734000 has 240 divisors, whose sum is σ = 3492946080. Its totient is φ = 239846400.

The previous prime is 949733987. The next prime is 949734001. The reversal of 949734000 is 437949.

949734000 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 (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949734001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340612 + ... + 343388.

It is an arithmetic number, because the mean of its divisors is an integer number (14553942).

Almost surely, 2^949734000 is an apocalyptic number.

949734000 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 949734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746473040).

949734000 is an abundant number, since it is smaller than the sum of its proper divisors (2543212080).

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

949734000 is a wasteful number, since it uses less digits than its factorization.

949734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 949734000 is about 30817.7546229442. The cubic root of 949734000 is about 982.9558128200.

The spelling of 949734000 in words is "nine hundred forty-nine million, seven hundred thirty-four thousand".