423964800 has 384 divisors, whose sum is σ = 1775779200. Its totient is φ = 96768000.

The previous prime is 423964741. The next prime is 423964867. The reversal of 423964800 is 8469324.

It is a happy number.

423964800 is a `hidden beast` number, since 4 + 2 + 3 + 9 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604450 + ... + 605150.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 2^423964800 is an apocalyptic number.

423964800 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 423964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887889600).

423964800 is an abundant number, since it is smaller than the sum of its proper divisors (1351814400).

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

423964800 is a wasteful number, since it uses less digits than its factorization.

423964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 423964800 is about 20590.4055326747. The cubic root of 423964800 is about 751.2363607628.

The spelling of 423964800 in words is "four hundred twenty-three million, nine hundred sixty-four thousand, eight hundred".