946152000 has 336 divisors, whose sum is σ = 3588270192. Its totient is φ = 237158400.

The previous prime is 946151959. The next prime is 946152007. The reversal of 946152000 is 251649.

It can be written as a sum of positive squares in 8 ways, for example, as 414203904 + 531948096 = 20352^2 + 23064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946152007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223614 + ... + 1224386.

Almost surely, 2^946152000 is an apocalyptic number.

946152000 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 946152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794135096).

946152000 is an abundant number, since it is smaller than the sum of its proper divisors (2642118192).

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

946152000 is a wasteful number, since it uses less digits than its factorization.

946152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 946152000 is about 30759.5838723478. The cubic root of 946152000 is about 981.7184896907.

The spelling of 946152000 in words is "nine hundred forty-six million, one hundred fifty-two thousand".