4145280 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1032192.

The previous prime is 4145261. The next prime is 4145291. The reversal of 4145280 is 825414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4145280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32577 + ... + 32703.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 2^4145280 is an apocalyptic number.

4145280 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 4145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

4145280 is an abundant number, since it is smaller than the sum of its proper divisors (9955200).

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

4145280 is a wasteful number, since it uses less digits than its factorization.

4145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4145280 is about 2035.9960707231. The cubic root of 4145280 is about 160.6391103796.

The spelling of 4145280 in words is "four million, one hundred forty-five thousand, two hundred eighty".