424842144 has 48 divisors (see below), whose sum is σ = 1116273312. Its totient is φ = 141479168.

The previous prime is 424842139. The next prime is 424842149. The reversal of 424842144 is 441248424.

It is an interprime number because it is at equal distance from previous prime (424842139) and next prime (424842149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (424842149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188287 + ... + 190529.

It is an arithmetic number, because the mean of its divisors is an integer number (23255694).

Almost surely, 2^424842144 is an apocalyptic number.

It is an amenable number.

424842144 is an abundant number, since it is smaller than the sum of its proper divisors (691431168).

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

424842144 is a wasteful number, since it uses less digits than its factorization.

424842144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4221 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

The square root of 424842144 is about 20611.6992021522. The cubic root of 424842144 is about 751.7542013933.

The spelling of 424842144 in words is "four hundred twenty-four million, eight hundred forty-two thousand, one hundred forty-four".