421842640 has 40 divisors (see below), whose sum is σ = 982202760. Its totient is φ = 168493056.

The previous prime is 421842623. The next prime is 421842643. The reversal of 421842640 is 46248124.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 418939024 = 1704^2 + 20468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421842643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 58092 + ... + 64948.

It is an arithmetic number, because the mean of its divisors is an integer number (24555069).

Almost surely, 2^421842640 is an apocalyptic number.

421842640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421842640 is an abundant number, since it is smaller than the sum of its proper divisors (560360120).

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

421842640 is a wasteful number, since it uses less digits than its factorization.

421842640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 421842640 is about 20538.8081445833. The cubic root of 421842640 is about 749.9808232134.

The spelling of 421842640 in words is "four hundred twenty-one million, eight hundred forty-two thousand, six hundred forty".