421538256 has 300 divisors, whose sum is σ = 1389115332. Its totient is φ = 122923008.

The previous prime is 421538231. The next prime is 421538263. The reversal of 421538256 is 652835124.

It can be written as a sum of positive squares in 2 ways, for example, as 316270656 + 105267600 = 17784^2 + 10260^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 421538256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7953526 + ... + 7953578.

Almost surely, 2^421538256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421538256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694557666).

421538256 is an abundant number, since it is smaller than the sum of its proper divisors (967577076).

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

421538256 is a wasteful number, since it uses less digits than its factorization.

421538256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 421538256 is about 20531.3968350914. The cubic root of 421538256 is about 749.8003948818.

The spelling of 421538256 in words is "four hundred twenty-one million, five hundred thirty-eight thousand, two hundred fifty-six".