421005312 has 288 divisors, whose sum is σ = 1502504640. Its totient is φ = 110592000.

The previous prime is 421005301. The next prime is 421005337. The reversal of 421005312 is 213500124.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1677187 + ... + 1677437.

It is an arithmetic number, because the mean of its divisors is an integer number (5217030).

Almost surely, 2^421005312 is an apocalyptic number.

421005312 is a gapful number since it is divisible by the number (42) 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 421005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

421005312 is an abundant number, since it is smaller than the sum of its proper divisors (1081499328).

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

421005312 is a wasteful number, since it uses less digits than its factorization.

421005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 421005312 is about 20518.4139737944. The cubic root of 421005312 is about 749.4842747846.

Adding to 421005312 its reverse (213500124), we get a palindrome (634505436).

The spelling of 421005312 in words is "four hundred twenty-one million, five thousand, three hundred twelve".