1949200 has 60 divisors (see below), whose sum is σ = 5120208. Its totient is φ = 707200.

The previous prime is 1949179. The next prime is 1949201. The reversal of 1949200 is 29491.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (1949201) 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, 4179 + ... + 4621.

2^1949200 is an apocalyptic number.

1949200 is a gapful number since it is divisible by the number (10) 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 1949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560104).

1949200 is an abundant number, since it is smaller than the sum of its proper divisors (3171008).

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

1949200 is a wasteful number, since it uses less digits than its factorization.

1949200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1949200 is about 1396.1375290422. The cubic root of 1949200 is about 124.9162105138.

The spelling of 1949200 in words is "one million, nine hundred forty-nine thousand, two hundred".