421735680 has 144 divisors (see below), whose sum is σ = 1496698560. Its totient is φ = 112453632.

The previous prime is 421735649. The next prime is 421735693. The reversal of 421735680 is 86537124.

421735680 is a `hidden beast` number, since 4 + 21 + 73 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28459 + ... + 40661.

It is an arithmetic number, because the mean of its divisors is an integer number (10393740).

Almost surely, 2^421735680 is an apocalyptic number.

421735680 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 421735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748349280).

421735680 is an abundant number, since it is smaller than the sum of its proper divisors (1074962880).

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

421735680 is a wasteful number, since it uses less digits than its factorization.

421735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233 (or 12213 counting only the distinct ones).

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

The square root of 421735680 is about 20536.2041283193. The cubic root of 421735680 is about 749.9174309101.

The spelling of 421735680 in words is "four hundred twenty-one million, seven hundred thirty-five thousand, six hundred eighty".