423824800 has 72 divisors (see below), whose sum is σ = 1182486816. Its totient is φ = 145309440.

The previous prime is 423824747. The next prime is 423824801. The reversal of 423824800 is 8428324.

It is a super-2 number, since 2×423824800² = 359254922190080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (423824801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32242 + ... + 43441.

It is an arithmetic number, because the mean of its divisors is an integer number (16423428).

Almost surely, 2^423824800 is an apocalyptic number.

423824800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423824800 is an abundant number, since it is smaller than the sum of its proper divisors (758662016).

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

423824800 is a wasteful number, since it uses less digits than its factorization.

423824800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75710 (or 75697 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 423824800 is about 20587.0056103359. The cubic root of 423824800 is about 751.1536615472.

The spelling of 423824800 in words is "four hundred twenty-three million, eight hundred twenty-four thousand, eight hundred".