950742000 has 480 divisors, whose sum is σ = 3802256640. Its totient is φ = 219340800.

The previous prime is 950741971. The next prime is 950742019. The reversal of 950742000 is 247059.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3977881 + ... + 3978119.

It is an arithmetic number, because the mean of its divisors is an integer number (7921368).

Almost surely, 2^950742000 is an apocalyptic number.

950742000 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 950742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901128320).

950742000 is an abundant number, since it is smaller than the sum of its proper divisors (2851514640).

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

950742000 is a wasteful number, since it uses less digits than its factorization.

950742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 950742000 is about 30834.1044948609. The cubic root of 950742000 is about 983.3034431848.

Adding to 950742000 its reverse (247059), we get a palindrome (950989059).

The spelling of 950742000 in words is "nine hundred fifty million, seven hundred forty-two thousand".