423086400 has 252 divisors, whose sum is σ = 1641067584. Its totient is φ = 102528000.

The previous prime is 423086387. The next prime is 423086413. The reversal of 423086400 is 4680324.

It is an interprime number because it is at equal distance from previous prime (423086387) and next prime (423086413).

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 35 ways as a sum of consecutive naturals, for example, 157065 + ... + 159735.

Almost surely, 2^423086400 is an apocalyptic number.

423086400 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 423086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820533792).

423086400 is an abundant number, since it is smaller than the sum of its proper divisors (1217981184).

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

423086400 is a wasteful number, since it uses less digits than its factorization.

423086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2692 counting only the distinct ones).

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

The square root of 423086400 is about 20569.0641498343. The cubic root of 423086400 is about 750.7171806506.

The spelling of 423086400 in words is "four hundred twenty-three million, eighty-six thousand, four hundred".