4305120 has 48 divisors (see below), whose sum is σ = 13562640. Its totient is φ = 1147904.

The previous prime is 4305109. The next prime is 4305121. The reversal of 4305120 is 215034.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4305120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4305121) 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, 4005 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (282555).

Almost surely, 2^4305120 is an apocalyptic number.

4305120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4305120 is an abundant number, since it is smaller than the sum of its proper divisors (9257520).

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

4305120 is a wasteful number, since it uses less digits than its factorization.

4305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4305120 is about 2074.8783096847. The cubic root of 4305120 is about 162.6778486744.

It can be divided in two parts, 43051 and 20, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 4305120 in words is "four million, three hundred five thousand, one hundred twenty".