423810816 has 288 divisors, whose sum is σ = 1409280768. Its totient is φ = 111083520.

The previous prime is 423810787. The next prime is 423810817. The reversal of 423810816 is 618018324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423810817) 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 31 ways as a sum of consecutive naturals, for example, 1866895 + ... + 1867121.

It is an arithmetic number, because the mean of its divisors is an integer number (4893336).

Almost surely, 2^423810816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704640384).

423810816 is an abundant number, since it is smaller than the sum of its proper divisors (985469952).

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

423810816 is a wasteful number, since it uses less digits than its factorization.

423810816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 423810816 is about 20586.6659758204. The cubic root of 423810816 is about 751.1454000766.

The spelling of 423810816 in words is "four hundred twenty-three million, eight hundred ten thousand, eight hundred sixteen".