4149964 has 36 divisors (see below), whose sum is σ = 8997744. Its totient is φ = 1639872.

The previous prime is 4149947. The next prime is 4149967. The reversal of 4149964 is 4699414.

4149964 = 66² + 67² + ... + 233².

It is not an unprimeable number, because it can be changed into a prime (4149967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4294 + ... + 5170.

Almost surely, 2^4149964 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 4149964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498872).

4149964 is an abundant number, since it is smaller than the sum of its proper divisors (4847780).

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

4149964 is a wasteful number, since it uses less digits than its factorization.

4149964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 899 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 4149964 is about 2037.1460428747. The cubic root of 4149964 is about 160.6995928531.

It can be divided in two parts, 41 and 49964, that added together give a palindrome (50005).

The spelling of 4149964 in words is "four million, one hundred forty-nine thousand, nine hundred sixty-four".