420960 has 48 divisors (see below), whose sum is σ = 1327536. Its totient is φ = 112128.

The previous prime is 420941. The next prime is 420967. The reversal of 420960 is 69024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420967) by changing a digit.

420960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (27657).

2⁴²⁰⁹⁶⁰ is an apocalyptic number.

420960 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 420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663768).

420960 is an abundant number, since it is smaller than the sum of its proper divisors (906576).

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

420960 is a wasteful number, since it uses less digits than its factorization.

420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 887 counting only the distinct ones).

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

The square root of 420960 is about 648.8143031716. The cubic root of 420960 is about 74.9457385298.

Adding to 420960 its reverse (69024), we get a palindrome (489984).

The spelling of 420960 in words is "four hundred twenty thousand, nine hundred sixty".