421414400 has 240 divisors, whose sum is σ = 1182768048. Its totient is φ = 147456000.

The previous prime is 421414397. The next prime is 421414421. The reversal of 421414400 is 4414124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5772764 + ... + 5772836.

Almost surely, 2^421414400 is an apocalyptic number.

421414400 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 421414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591384024).

421414400 is an abundant number, since it is smaller than the sum of its proper divisors (761353648).

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

421414400 is a wasteful number, since it uses less digits than its factorization.

421414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 421414400 is about 20528.3803550110. The cubic root of 421414400 is about 749.7269524573.

Adding to 421414400 its reverse (4414124), we get a palindrome (425828524).

The spelling of 421414400 in words is "four hundred twenty-one million, four hundred fourteen thousand, four hundred".