421214400 has 126 divisors (see below), whose sum is σ = 1497146612. Its totient is φ = 112320000.

The previous prime is 421214399. The next prime is 421214407. The reversal of 421214400 is 4412124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (421214407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226 + ... + 29025.

Almost surely, 2^421214400 is an apocalyptic number.

421214400 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 421214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748573306).

421214400 is an abundant number, since it is smaller than the sum of its proper divisors (1075932212).

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

421214400 is a wasteful number, since it uses less digits than its factorization.

421214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29279 (or 29261 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 421214400 is about 20523.5084719938. The cubic root of 421214400 is about 749.6083288272.

Adding to 421214400 its reverse (4412124), we get a palindrome (425626524).

The spelling of 421214400 in words is "four hundred twenty-one million, two hundred fourteen thousand, four hundred".