421066800 has 720 divisors, whose sum is σ = 1918924800. Its totient is φ = 84672000.

The previous prime is 421066787. The next prime is 421066801. The reversal of 421066800 is 8660124.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (421066801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13582785 + ... + 13582815.

Almost surely, 2^421066800 is an apocalyptic number.

421066800 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 421066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959462400).

421066800 is an abundant number, since it is smaller than the sum of its proper divisors (1497858000).

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

421066800 is a wasteful number, since it uses less digits than its factorization.

421066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 421066800 is about 20519.9122805143. The cubic root of 421066800 is about 749.5207605046.

The spelling of 421066800 in words is "four hundred twenty-one million, sixty-six thousand, eight hundred".