423664800 has 288 divisors, whose sum is σ = 1529402112. Its totient is φ = 101191680.

The previous prime is 423664753. The next prime is 423664847. The reversal of 423664800 is 8466324.

It is an interprime number because it is at equal distance from previous prime (423664753) and next prime (423664847).

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, 1154217 + ... + 1154583.

It is an arithmetic number, because the mean of its divisors is an integer number (5310424).

Almost surely, 2^423664800 is an apocalyptic number.

423664800 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 423664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764701056).

423664800 is an abundant number, since it is smaller than the sum of its proper divisors (1105737312).

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

423664800 is a wasteful number, since it uses less digits than its factorization.

423664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 423664800 is about 20583.1192971328. The cubic root of 423664800 is about 751.0591258547.

The spelling of 423664800 in words is "four hundred twenty-three million, six hundred sixty-four thousand, eight hundred".