4142592 has 120 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 1290240.

The previous prime is 4142591. The next prime is 4142609. The reversal of 4142592 is 2952414.

It is a super-2 number, since 2×4142592² = 34322136956928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133617 + ... + 133647.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

Almost surely, 2^4142592 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 4142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

4142592 is an abundant number, since it is smaller than the sum of its proper divisors (8624448).

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

4142592 is a wasteful number, since it uses less digits than its factorization.

4142592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4142592 is about 2035.3358445230. The cubic root of 4142592 is about 160.6043808160.

The spelling of 4142592 in words is "four million, one hundred forty-two thousand, five hundred ninety-two".