424221840 has 160 divisors (see below), whose sum is σ = 1670012160. Its totient is φ = 96961536.

The previous prime is 424221817. The next prime is 424221841. The reversal of 424221840 is 48122424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (424221841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1092 + ... + 29148.

It is an arithmetic number, because the mean of its divisors is an integer number (10437576).

Almost surely, 2^424221840 is an apocalyptic number.

424221840 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 424221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835006080).

424221840 is an abundant number, since it is smaller than the sum of its proper divisors (1245790320).

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

424221840 is a wasteful number, since it uses less digits than its factorization.

424221840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28086 (or 28074 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 424221840 is about 20596.6463289537. The cubic root of 424221840 is about 751.3881491375.

The spelling of 424221840 in words is "four hundred twenty-four million, two hundred twenty-one thousand, eight hundred forty".