421106400 has 432 divisors, whose sum is σ = 1748794320. Its totient is φ = 94003200.

The previous prime is 421106351. The next prime is 421106401. The reversal of 421106400 is 4601124.

421106400 is a `hidden beast` number, since 4 + 21 + 1 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421106401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1029396 + ... + 1029804.

It is an arithmetic number, because the mean of its divisors is an integer number (4048135).

Almost surely, 2^421106400 is an apocalyptic number.

421106400 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 421106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874397160).

421106400 is an abundant number, since it is smaller than the sum of its proper divisors (1327687920).

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

421106400 is a wasteful number, since it uses less digits than its factorization.

421106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 421106400 is about 20520.8771742340. The cubic root of 421106400 is about 749.5442564532.

Adding to 421106400 its reverse (4601124), we get a palindrome (425707524).

The spelling of 421106400 in words is "four hundred twenty-one million, one hundred six thousand, four hundred".