423620400 has 480 divisors, whose sum is σ = 1682749440. Its totient is φ = 89026560.

The previous prime is 423620381. The next prime is 423620419. The reversal of 423620400 is 4026324.

It is an interprime number because it is at equal distance from previous prime (423620381) and next prime (423620419).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9013177 + ... + 9013223.

It is an arithmetic number, because the mean of its divisors is an integer number (3505728).

Almost surely, 2^423620400 is an apocalyptic number.

423620400 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 423620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841374720).

423620400 is an abundant number, since it is smaller than the sum of its proper divisors (1259129040).

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

423620400 is a wasteful number, since it uses less digits than its factorization.

423620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

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

The square root of 423620400 is about 20582.0407151478. The cubic root of 423620400 is about 751.0328879813.

Adding to 423620400 its reverse (4026324), we get a palindrome (427646724).

The spelling of 423620400 in words is "four hundred twenty-three million, six hundred twenty thousand, four hundred".