421419600 has 270 divisors, whose sum is σ = 1701921390. Its totient is φ = 96284160.

The previous prime is 421419599. The next prime is 421419643. The reversal of 421419600 is 6914124.

421419600 is a `hidden beast` number, since 42 + 1 + 4 + 19 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4769856 + 416649744 = 2184^2 + 20412^2 .

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 53 ways as a sum of consecutive naturals, for example, 175206 + ... + 177594.

Almost surely, 2^421419600 is an apocalyptic number.

421419600 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 421419600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850960695).

421419600 is an abundant number, since it is smaller than the sum of its proper divisors (1280501790).

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

421419600 is a wasteful number, since it uses less digits than its factorization.

421419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 421419600 is about 20528.5070085479. The cubic root of 421419600 is about 749.7300361710.

The spelling of 421419600 in words is "four hundred twenty-one million, four hundred nineteen thousand, six hundred".