946080000 has 450 divisors, whose sum is σ = 3573460814. Its totient is φ = 248832000.

The previous prime is 946079969. The next prime is 946080001. The reversal of 946080000 is 80649.

It can be written as a sum of positive squares in 5 ways, for example, as 339738624 + 606341376 = 18432^2 + 24624^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (946080001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959964 + ... + 12960036.

Almost surely, 2^946080000 is an apocalyptic number.

946080000 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 946080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786730407).

946080000 is an abundant number, since it is smaller than the sum of its proper divisors (2627380814).

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

946080000 is an frugal number, since it uses more digits than its factorization.

946080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

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

The square root of 946080000 is about 30758.4134831431. The cubic root of 946080000 is about 981.6935868829.

The spelling of 946080000 in words is "nine hundred forty-six million, eighty thousand".