950666400 has 324 divisors, whose sum is σ = 3493983402. Its totient is φ = 243210240.

The previous prime is 950666393. The next prime is 950666411. The reversal of 950666400 is 4666059.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 26749584 + 923916816 = 5172^2 + 30396^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6055122 + ... + 6055278.

Almost surely, 2^950666400 is an apocalyptic number.

950666400 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 950666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746991701).

950666400 is an abundant number, since it is smaller than the sum of its proper divisors (2543317002).

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

950666400 is a wasteful number, since it uses less digits than its factorization.

950666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 950666400 is about 30832.8785552047. The cubic root of 950666400 is about 983.2773794329.

The spelling of 950666400 in words is "nine hundred fifty million, six hundred sixty-six thousand, four hundred".