421756560 has 120 divisors (see below), whose sum is σ = 1420159104. Its totient is φ = 112170240.

The previous prime is 421756529. The next prime is 421756561. The reversal of 421756560 is 65657124.

It is a happy number.

421756560 is a `hidden beast` number, since 4 + 21 + 75 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (421756561) 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, 462505 + ... + 463415.

Almost surely, 2^421756560 is an apocalyptic number.

421756560 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 421756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710079552).

421756560 is an abundant number, since it is smaller than the sum of its proper divisors (998402544).

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

421756560 is a wasteful number, since it uses less digits than its factorization.

421756560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 421756560 is about 20536.7124925096. The cubic root of 421756560 is about 749.9298067641.

The spelling of 421756560 in words is "four hundred twenty-one million, seven hundred fifty-six thousand, five hundred sixty".