4200960 has 80 divisors (see below), whose sum is σ = 13454496. Its totient is φ = 1118208.

The previous prime is 4200953. The next prime is 4200991. The reversal of 4200960 is 690024.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7407 + ... + 7953.

Almost surely, 2^4200960 is an apocalyptic number.

4200960 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 4200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727248).

4200960 is an abundant number, since it is smaller than the sum of its proper divisors (9253536).

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

4200960 is an equidigital number, since it uses as much as digits as its factorization.

4200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4200960 is about 2049.6243558272. The cubic root of 4200960 is about 161.3551564557.

Adding to 4200960 its reverse (690024), we get a palindrome (4890984).

The spelling of 4200960 in words is "four million, two hundred thousand, nine hundred sixty".