949800 has 48 divisors (see below), whose sum is σ = 2946240. Its totient is φ = 253120.

The previous prime is 949789. The next prime is 949811. The reversal of 949800 is 8949.

It is an interprime number because it is at equal distance from previous prime (949789) and next prime (949811).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 192 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

2⁹⁴⁹⁸⁰⁰ 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 949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473120).

949800 is an abundant number, since it is smaller than the sum of its proper divisors (1996440).

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

949800 is a wasteful number, since it uses less digits than its factorization.

949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 949800 is about 974.5768312452. The cubic root of 949800 is about 98.2978581855.

The spelling of 949800 in words is "nine hundred forty-nine thousand, eight hundred".