950406000 has 320 divisors, whose sum is σ = 3275790336. Its totient is φ = 236544000.

The previous prime is 950405999. The next prime is 950406007. The reversal of 950406000 is 604059.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950406007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9797952 + ... + 9798048.

Almost surely, 2^950406000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168).

950406000 is an abundant number, since it is smaller than the sum of its proper divisors (2325384336).

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

950406000 is a wasteful number, since it uses less digits than its factorization.

950406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 950406000 is about 30828.6555010107. The cubic root of 950406000 is about 983.1875937095.

The spelling of 950406000 in words is "nine hundred fifty million, four hundred six thousand".