946900 has 36 divisors (see below), whose sum is σ = 2179548. Its totient is φ = 355840.

The previous prime is 946877. The next prime is 946901. The reversal of 946900 is 9649.

It can be written as a sum of positive squares in 6 ways, for example, as 51984 + 894916 = 228^2 + 946^2 .

It is a super-2 number, since 2×946900² = 1793239220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1422 + ... + 1978.

It is an arithmetic number, because the mean of its divisors is an integer number (60543).

2⁹⁴⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089774).

946900 is an abundant number, since it is smaller than the sum of its proper divisors (1232648).

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

946900 is a wasteful number, since it uses less digits than its factorization.

946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 946900 is about 973.0878685915. The cubic root of 946900 is about 98.1977127486.

The spelling of 946900 in words is "nine hundred forty-six thousand, nine hundred".