4249600 has 72 divisors (see below), whose sum is σ = 10663380. Its totient is φ = 1679360.

The previous prime is 4249579. The next prime is 4249613. The reversal of 4249600 is 69424.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51159 + ... + 51241.

Almost surely, 2^4249600 is an apocalyptic number.

4249600 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 4249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331690).

4249600 is an abundant number, since it is smaller than the sum of its proper divisors (6413780).

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

4249600 is an equidigital number, since it uses as much as digits as its factorization.

4249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4249600 is about 2061.4557962760. The cubic root of 4249600 is about 161.9755081604.

The spelling of 4249600 in words is "four million, two hundred forty-nine thousand, six hundred".