423878400 has 432 divisors, whose sum is σ = 1703224320. Its totient is φ = 102297600.

The previous prime is 423878393. The next prime is 423878461. The reversal of 423878400 is 4878324.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900689 + ... + 1900911.

Almost surely, 2^423878400 is an apocalyptic number.

423878400 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 423878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851612160).

423878400 is an abundant number, since it is smaller than the sum of its proper divisors (1279345920).

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

423878400 is a wasteful number, since it uses less digits than its factorization.

423878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 423878400 is about 20588.3073612184. The cubic root of 423878400 is about 751.1853256838.

The spelling of 423878400 in words is "four hundred twenty-three million, eight hundred seventy-eight thousand, four hundred".