4149792 has 60 divisors (see below), whose sum is σ = 12212046. Its totient is φ = 1382400.

The previous prime is 4149763. The next prime is 4149793. The reversal of 4149792 is 2979414.

It can be written as a sum of positive squares in only one way, i.e., 2178576 + 1971216 = 1476^2 + 1404^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4149793) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1792 + ... + 3392.

Almost surely, 2^4149792 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 4149792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106023).

4149792 is an abundant number, since it is smaller than the sum of its proper divisors (8062254).

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

4149792 is a wasteful number, since it uses less digits than its factorization.

4149792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1606 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 4149792 is about 2037.1038265145. The cubic root of 4149792 is about 160.6973726964.

The spelling of 4149792 in words is "four million, one hundred forty-nine thousand, seven hundred ninety-two".