421760340 has 144 divisors (see below), whose sum is σ = 1354953600. Its totient is φ = 106009344.

The previous prime is 421760329. The next prime is 421760359. The reversal of 421760340 is 43067124.

421760340 is a `hidden beast` number, since 4 + 2 + 17 + 603 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223521 + ... + 225399.

It is an arithmetic number, because the mean of its divisors is an integer number (9409400).

Almost surely, 2^421760340 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 421760340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677476800).

421760340 is an abundant number, since it is smaller than the sum of its proper divisors (933193260).

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

421760340 is a wasteful number, since it uses less digits than its factorization.

421760340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 421760340 is about 20536.8045226126. The cubic root of 421760340 is about 749.9320471767.

It can be divided in two parts, 421 and 760340, that added together give a triangular number (760761 = T₁₂₃₃).

The spelling of 421760340 in words is "four hundred twenty-one million, seven hundred sixty thousand, three hundred forty".