421300800 has 252 divisors, whose sum is σ = 1586406276. Its totient is φ = 105676800.

The previous prime is 421300793. The next prime is 421300807. The reversal of 421300800 is 8003124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (421300793) and next prime (421300807).

It can be written as a sum of positive squares in 6 ways, for example, as 7096896 + 414203904 = 2664^2 + 20352^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (421300807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243940 + ... + 245660.

It is an arithmetic number, because the mean of its divisors is an integer number (6295263).

Almost surely, 2^421300800 is an apocalyptic number.

421300800 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 421300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793203138).

421300800 is an abundant number, since it is smaller than the sum of its proper divisors (1165105476).

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

421300800 is a wasteful number, since it uses less digits than its factorization.

421300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 421300800 is about 20525.6132673302. The cubic root of 421300800 is about 749.6595788413.

Adding to 421300800 its reverse (8003124), we get a palindrome (429303924).

The spelling of 421300800 in words is "four hundred twenty-one million, three hundred thousand, eight hundred".