421718400 has 240 divisors, whose sum is σ = 1557190140. Its totient is φ = 112389120.

The previous prime is 421718399. The next prime is 421718419. The reversal of 421718400 is 4817124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 258387 + ... + 260013.

Almost surely, 2^421718400 is an apocalyptic number.

421718400 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 421718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778595070).

421718400 is an abundant number, since it is smaller than the sum of its proper divisors (1135471740).

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

421718400 is a wasteful number, since it uses less digits than its factorization.

421718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 421718400 is about 20535.7834036104. The cubic root of 421718400 is about 749.9071885152.

The spelling of 421718400 in words is "four hundred twenty-one million, seven hundred eighteen thousand, four hundred".