4149900 has 144 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1048320.

The previous prime is 4149889. The next prime is 4149907. The reversal of 4149900 is 99414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4149907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78274 + ... + 78326.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

Almost surely, 2^4149900 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 4149900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

4149900 is an abundant number, since it is smaller than the sum of its proper divisors (9911700).

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

4149900 is a wasteful number, since it uses less digits than its factorization.

4149900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4149900 is about 2037.1303345638. The cubic root of 4149900 is about 160.6987667555.

The spelling of 4149900 in words is "four million, one hundred forty-nine thousand, nine hundred".