946998000 has 640 divisors, whose sum is σ = 3899750400. Its totient is φ = 217728000.

The previous prime is 946997993. The next prime is 946998007. The reversal of 946998000 is 899649.

It is an interprime number because it is at equal distance from previous prime (946997993) and next prime (946998007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946998007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13337965 + ... + 13338035.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^946998000 is an apocalyptic number.

946998000 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 946998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949875200).

946998000 is an abundant number, since it is smaller than the sum of its proper divisors (2952752400).

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

946998000 is a wasteful number, since it uses less digits than its factorization.

946998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 946998000 is about 30773.3326112074. The cubic root of 946998000 is about 982.0110030942.

The spelling of 946998000 in words is "nine hundred forty-six million, nine hundred ninety-eight thousand".