4149288 has 144 divisors (see below), whose sum is σ = 13703040. Its totient is φ = 1123200.

The previous prime is 4149287. The next prime is 4149337. The reversal of 4149288 is 8829414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4149283) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133833 + ... + 133863.

It is an arithmetic number, because the mean of its divisors is an integer number (95160).

Almost surely, 2^4149288 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 4149288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851520).

4149288 is an abundant number, since it is smaller than the sum of its proper divisors (9553752).

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

4149288 is a wasteful number, since it uses less digits than its factorization.

4149288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4149288 is about 2036.9801177233. The cubic root of 4149288 is about 160.6908667675.

The spelling of 4149288 in words is "four million, one hundred forty-nine thousand, two hundred eighty-eight".