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423360 = 2633572

423360 has 168 divisors, whose sum is σ = 1737360. Its totient is φ = 96768.

The previous prime is 423347. The next prime is 423389. The reversal of 423360 is 63324.

Adding to 423360 its reverse (63324), we get a palindrome (486684).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 423360.

It is an unprimeable number.

423360 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 23 ways as a sum of consecutive naturals, for example, 60477 + ... + 60483.

423360 is a Friedman number, since it can be written as 60*(3+3^4)^2, using all its digits and the basic arithmetic operations.

2423360 is an apocalyptic number.

423360 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 423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868680).

423360 is an abundant number, since it is smaller than the sum of its proper divisors (1314000).

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

423360 is a wasteful number, since it uses less digits than its factorization.

423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 423360 is about 650.6612021628. The cubic root of 423360 is about 75.0878969481.

The spelling of 423360 in words is "four hundred twenty-three thousand, three hundred sixty".