4145792 has 48 divisors (see below), whose sum is σ = 9622170. Its totient is φ = 1774080.

The previous prime is 4145783. The next prime is 4145803. The reversal of 4145792 is 2975414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3013696 + 1132096 = 1736^2 + 1064^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5942 + ... + 6602.

Almost surely, 2^4145792 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 4145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811085).

4145792 is an abundant number, since it is smaller than the sum of its proper divisors (5476378).

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

4145792 is an equidigital number, since it uses as much as digits as its factorization.

4145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 4145792 is about 2036.1218038222. The cubic root of 4145792 is about 160.6457238322.

Subtracting from 4145792 its sum of digits (32), we obtain a triangular number (4145760 = T₂₈₇₉).

The spelling of 4145792 in words is "four million, one hundred forty-five thousand, seven hundred ninety-two".