423864000 has 504 divisors, whose sum is σ = 1794650208. Its totient is φ = 93542400.

The previous prime is 423863983. The next prime is 423864011. The reversal of 423864000 is 468324.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14615986 + ... + 14616014.

Almost surely, 2^423864000 is an apocalyptic number.

423864000 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 423864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897325104).

423864000 is an abundant number, since it is smaller than the sum of its proper divisors (1370786208).

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

423864000 is a wasteful number, since it uses less digits than its factorization.

423864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 423864000 is about 20587.9576451867. The cubic root of 423864000 is about 751.1768191631.

The spelling of 423864000 in words is "four hundred twenty-three million, eight hundred sixty-four thousand".