8942950400 has 288 divisors, whose sum is σ = 24221106000. Its totient is φ = 3261726720.

The previous prime is 8942950391. The next prime is 8942950403. The reversal of 8942950400 is 40592498.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8942950403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28211042 + ... + 28211358.

Almost surely, 2^8942950400 is an apocalyptic number.

8942950400 is a gapful number since it is divisible by the number (80) 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 8942950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110553000).

8942950400 is an abundant number, since it is smaller than the sum of its proper divisors (15278155600).

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

8942950400 is a wasteful number, since it uses less digits than its factorization.

8942950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 8942950400 is about 94567.1740087436. The cubic root of 8942950400 is about 2075.6793943095.

The spelling of 8942950400 in words is "eight billion, nine hundred forty-two million, nine hundred fifty thousand, four hundred".