423259200 has 1008 divisors, whose sum is σ = 2063617920. Its totient is φ = 79626240.

The previous prime is 423259163. The next prime is 423259223. The reversal of 423259200 is 2952324.

423259200 is a `hidden beast` number, since 42 + 32 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22276791 + ... + 22276809.

It is an arithmetic number, because the mean of its divisors is an integer number (2047240).

Almost surely, 2^423259200 is an apocalyptic number.

423259200 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 423259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031808960).

423259200 is an abundant number, since it is smaller than the sum of its proper divisors (1640358720).

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

423259200 is a wasteful number, since it uses less digits than its factorization.

423259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 423259200 is about 20573.2642038156. The cubic root of 423259200 is about 750.8193711818.

The spelling of 423259200 in words is "four hundred twenty-three million, two hundred fifty-nine thousand, two hundred".