950102400 has 384 divisors, whose sum is σ = 3527274240. Its totient is φ = 223027200.

The previous prime is 950102393. The next prime is 950102401. The reversal of 950102400 is 4201059.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2870235 + ... + 2870565.

It is an arithmetic number, because the mean of its divisors is an integer number (9185610).

Almost surely, 2^950102400 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 950102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763637120).

950102400 is an abundant number, since it is smaller than the sum of its proper divisors (2577171840).

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

950102400 is a wasteful number, since it uses less digits than its factorization.

950102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 950102400 is about 30823.7311174361. The cubic root of 950102400 is about 983.0828919494.

Adding to 950102400 its reverse (4201059), we get a palindrome (954303459).

The spelling of 950102400 in words is "nine hundred fifty million, one hundred two thousand, four hundred".