949200 has 120 divisors (see below), whose sum is σ = 3505728. Its totient is φ = 215040.

The previous prime is 949171. The next prime is 949211. The reversal of 949200 is 2949.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8344 + ... + 8456.

2⁹⁴⁹²⁰⁰ 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 949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752864).

949200 is an abundant number, since it is smaller than the sum of its proper divisors (2556528).

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

949200 is a wasteful number, since it uses less digits than its factorization.

949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 949200 is about 974.2689567055. The cubic root of 949200 is about 98.2771551819.

The spelling of 949200 in words is "nine hundred forty-nine thousand, two hundred".