946141200 has 180 divisors, whose sum is σ = 3321388980. Its totient is φ = 249384960.

The previous prime is 946141199. The next prime is 946141253. The reversal of 946141200 is 2141649.

It can be written as a sum of positive squares in 6 ways, for example, as 17842176 + 928299024 = 4224^2 + 30468^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 318924 + ... + 321876.

It is an arithmetic number, because the mean of its divisors is an integer number (18452161).

Almost surely, 2^946141200 is an apocalyptic number.

946141200 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 946141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660694490).

946141200 is an abundant number, since it is smaller than the sum of its proper divisors (2375247780).

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

946141200 is a wasteful number, since it uses less digits than its factorization.

946141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 946141200 is about 30759.4083168061. The cubic root of 946141200 is about 981.7147543501.

Adding to 946141200 its reverse (2141649), we get a palindrome (948282849).

The spelling of 946141200 in words is "nine hundred forty-six million, one hundred forty-one thousand, two hundred".