421263360 has 288 divisors, whose sum is σ = 1671153120. Its totient is φ = 96141312.

The previous prime is 421263347. The next prime is 421263361. The reversal of 421263360 is 63362124.

421263360 is a `hidden beast` number, since 4 + 21 + 2 + 633 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421263361) 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, 644794 + ... + 645446.

It is an arithmetic number, because the mean of its divisors is an integer number (5802615).

Almost surely, 2^421263360 is an apocalyptic number.

421263360 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 421263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835576560).

421263360 is an abundant number, since it is smaller than the sum of its proper divisors (1249889760).

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

421263360 is a wasteful number, since it uses less digits than its factorization.

421263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 421263360 is about 20524.7012158521. The cubic root of 421263360 is about 749.6373713622.

The spelling of 421263360 in words is "four hundred twenty-one million, two hundred sixty-three thousand, three hundred sixty".