421174656 has 192 divisors, whose sum is σ = 1433671200. Its totient is φ = 116121600.

The previous prime is 421174651. The next prime is 421174667. The reversal of 421174656 is 656471124.

421174656 is a `hidden beast` number, since 421 + 174 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 421174656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421174651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232956 + ... + 234756.

Almost surely, 2^421174656 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 421174656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716835600).

421174656 is an abundant number, since it is smaller than the sum of its proper divisors (1012496544).

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

421174656 is a wasteful number, since it uses less digits than its factorization.

421174656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1842 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 421174656 is about 20522.5401936505. The cubic root of 421174656 is about 749.5847514673.

The spelling of 421174656 in words is "four hundred twenty-one million, one hundred seventy-four thousand, six hundred fifty-six".