950004000 has 288 divisors, whose sum is σ = 3679603200. Its totient is φ = 230208000.

The previous prime is 950003987. The next prime is 950004001. The reversal of 950004000 is 400059.

950004000 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (950004001) 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, 394801 + ... + 397199.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2^950004000 is an apocalyptic number.

950004000 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 950004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839801600).

950004000 is an abundant number, since it is smaller than the sum of its proper divisors (2729599200).

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

950004000 is a wasteful number, since it uses less digits than its factorization.

950004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 950004000 is about 30822.1349033450. The cubic root of 950004000 is about 983.0489522055.

Adding to 950004000 its reverse (400059), we get a palindrome (950404059).

The spelling of 950004000 in words is "nine hundred fifty million, four thousand".