4295120 has 40 divisors (see below), whose sum is σ = 10184616. Its totient is φ = 1683968.

The previous prime is 4295113. The next prime is 4295129. The reversal of 4295120 is 215924.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 4276624 = 136^2 + 2068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4295129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3734 + ... + 4746.

Almost surely, 2^4295120 is an apocalyptic number.

4295120 is a gapful number since it is divisible by the number (40) 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 4295120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092308).

4295120 is an abundant number, since it is smaller than the sum of its proper divisors (5889496).

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

4295120 is a wasteful number, since it uses less digits than its factorization.

4295120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4295120 is about 2072.4671288105. The cubic root of 4295120 is about 162.5517941406.

The spelling of 4295120 in words is "four million, two hundred ninety-five thousand, one hundred twenty".