423844400 has 240 divisors, whose sum is σ = 1269442560. Its totient is φ = 132710400.

The previous prime is 423844387. The next prime is 423844411. The reversal of 423844400 is 4448324.

It is a super-2 number, since 2×423844400² = 359288150822720000, which contains 22 as substring.

It is a congruent number.

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, 1649072 + ... + 1649328.

It is an arithmetic number, because the mean of its divisors is an integer number (5289344).

Almost surely, 2^423844400 is an apocalyptic number.

423844400 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 423844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634721280).

423844400 is an abundant number, since it is smaller than the sum of its proper divisors (845598160).

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

423844400 is a wasteful number, since it uses less digits than its factorization.

423844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 423844400 is about 20587.4816332644. The cubic root of 423844400 is about 751.1652405336.

The spelling of 423844400 in words is "four hundred twenty-three million, eight hundred forty-four thousand, four hundred".