4149200 has 120 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 1408000.

The previous prime is 4149191. The next prime is 4149227. The reversal of 4149200 is 29414.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 101180 + ... + 101220.

Almost surely, 2^4149200 is an apocalyptic number.

4149200 is a gapful number since it is divisible by the number (40) 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 4149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

4149200 is an abundant number, since it is smaller than the sum of its proper divisors (7475056).

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

4149200 is a wasteful number, since it uses less digits than its factorization.

4149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4149200 is about 2036.9585170052. The cubic root of 4149200 is about 160.6897307576.

The spelling of 4149200 in words is "four million, one hundred forty-nine thousand, two hundred".