4254120 has 160 divisors (see below), whose sum is σ = 15550920. Its totient is φ = 1036800.

The previous prime is 4254113. The next prime is 4254127. The reversal of 4254120 is 214524.

It is an interprime number because it is at equal distance from previous prime (4254113) and next prime (4254127).

It can be written as a sum of positive squares in 4 ways, for example, as 3709476 + 544644 = 1926^2 + 738^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4254093 and 4254102.

It is not an unprimeable number, because it can be changed into a prime (4254127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42070 + ... + 42170.

Almost surely, 2^4254120 is an apocalyptic number.

4254120 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 4254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775460).

4254120 is an abundant number, since it is smaller than the sum of its proper divisors (11296800).

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

4254120 is a wasteful number, since it uses less digits than its factorization.

4254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4254120 is about 2062.5518175309. The cubic root of 4254120 is about 162.0329151226.

Adding to 4254120 its reverse (214524), we get a palindrome (4468644).

The spelling of 4254120 in words is "four million, two hundred fifty-four thousand, one hundred twenty".