424062144 has 336 divisors, whose sum is σ = 1460699136. Its totient is φ = 116121600.

The previous prime is 424062137. The next prime is 424062151. The reversal of 424062144 is 441260424.

It is a happy number.

424062144 is a `hidden beast` number, since 42 + 406 + 214 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (424062137) and next prime (424062151).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3339009 + ... + 3339135.

Almost surely, 2^424062144 is an apocalyptic number.

424062144 is a gapful number since it is divisible by the number (44) 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 424062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730349568).

424062144 is an abundant number, since it is smaller than the sum of its proper divisors (1036636992).

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

424062144 is a wasteful number, since it uses less digits than its factorization.

424062144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424062144 is about 20592.7692164021. The cubic root of 424062144 is about 751.2938519792.

The spelling of 424062144 in words is "four hundred twenty-four million, sixty-two thousand, one hundred forty-four".