423314400 has 144 divisors (see below), whose sum is σ = 1385630064. Its totient is φ = 112250880.

The previous prime is 423314369. The next prime is 423314407. The reversal of 423314400 is 4413324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423314407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558822 + ... + 559578.

It is an arithmetic number, because the mean of its divisors is an integer number (9622431).

Almost surely, 2^423314400 is an apocalyptic number.

423314400 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 423314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692815032).

423314400 is an abundant number, since it is smaller than the sum of its proper divisors (962315664).

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

423314400 is a wasteful number, since it uses less digits than its factorization.

423314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 423314400 is about 20574.6057070360. The cubic root of 423314400 is about 750.8520095176.

Adding to 423314400 its reverse (4413324), we get a palindrome (427727724).

The spelling of 423314400 in words is "four hundred twenty-three million, three hundred fourteen thousand, four hundred".