4194792 has 144 divisors (see below), whose sum is σ = 14004900. Its totient is φ = 1128960.

The previous prime is 4194781. The next prime is 4194793. The reversal of 4194792 is 2974914.

It can be written as a sum of positive squares in 2 ways, for example, as 3896676 + 298116 = 1974^2 + 546^2 .

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 an Ulam number.

Its product of digits (18144) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (4194793) 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, 102292 + ... + 102332.

Almost surely, 2^4194792 is an apocalyptic number.

4194792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4194792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002450).

4194792 is an abundant number, since it is smaller than the sum of its proper divisors (9810108).

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

4194792 is a wasteful number, since it uses less digits than its factorization.

4194792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

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

The square root of 4194792 is about 2048.1191371598. The cubic root of 4194792 is about 161.2761486349.

The spelling of 4194792 in words is "four million, one hundred ninety-four thousand, seven hundred ninety-two".