421579440 has 120 divisors (see below), whose sum is σ = 1421493840. Its totient is φ = 111969792.

The previous prime is 421579423. The next prime is 421579511. The reversal of 421579440 is 44975124.

It is a happy number.

421579440 is a `hidden beast` number, since 42 + 1 + 579 + 4 + 40 = 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 a junction number, because it is equal to n+sod(n) for n = 421579395 and 421579404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202726 + ... + 204794.

It is an arithmetic number, because the mean of its divisors is an integer number (11845782).

Almost surely, 2^421579440 is an apocalyptic number.

421579440 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 421579440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710746920).

421579440 is an abundant number, since it is smaller than the sum of its proper divisors (999914400).

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

421579440 is a wasteful number, since it uses less digits than its factorization.

421579440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2362 counting only the distinct ones).

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

The square root of 421579440 is about 20532.3997623269. The cubic root of 421579440 is about 749.8248124156.

The spelling of 421579440 in words is "four hundred twenty-one million, five hundred seventy-nine thousand, four hundred forty".