421050400 has 72 divisors (see below), whose sum is σ = 1032098004. Its totient is φ = 167731200.

The previous prime is 421050347. The next prime is 421050419. The reversal of 421050400 is 4050124.

It can be written as a sum of positive squares in 6 ways, for example, as 70761744 + 350288656 = 8412^2 + 18716^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223864 + ... + 225736.

Almost surely, 2^421050400 is an apocalyptic number.

421050400 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 421050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516049002).

421050400 is an abundant number, since it is smaller than the sum of its proper divisors (611047604).

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

421050400 is a wasteful number, since it uses less digits than its factorization.

421050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 421050400 is about 20519.5126647784. The cubic root of 421050400 is about 749.5110294278.

The spelling of 421050400 in words is "four hundred twenty-one million, fifty thousand, four hundred".