421101408 has 384 divisors, whose sum is σ = 1490227200. Its totient is φ = 101025792.

The previous prime is 421101397. The next prime is 421101409. The reversal of 421101408 is 804101124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421101409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7137283 + ... + 7137341.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2^421101408 is an apocalyptic number.

421101408 is a gapful number since it is divisible by the number (48) 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 421101408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745113600).

421101408 is an abundant number, since it is smaller than the sum of its proper divisors (1069125792).

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

421101408 is a wasteful number, since it uses less digits than its factorization.

421101408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 421101408 is about 20520.7555416461. The cubic root of 421101408 is about 749.5412946208.

The spelling of 421101408 in words is "four hundred twenty-one million, one hundred one thousand, four hundred eight".