421897600 has 96 divisors (see below), whose sum is σ = 1076091840. Its totient is φ = 163276800.

The previous prime is 421897583. The next prime is 421897601. The reversal of 421897600 is 6798124.

It is a self number, because there is not a number n which added to its sum of digits gives 421897600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421897601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97074 + ... + 101326.

It is an arithmetic number, because the mean of its divisors is an integer number (11209290).

Almost surely, 2^421897600 is an apocalyptic number.

421897600 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 421897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538045920).

421897600 is an abundant number, since it is smaller than the sum of its proper divisors (654194240).

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

421897600 is a wasteful number, since it uses less digits than its factorization.

421897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 421897600 is about 20540.1460559559. The cubic root of 421897600 is about 750.0133923535.

The spelling of 421897600 in words is "four hundred twenty-one million, eight hundred ninety-seven thousand, six hundred".