384254442 has 224 divisors, whose sum is σ = 1079709120. Its totient is φ = 100776960.

The previous prime is 384254413. The next prime is 384254459. The reversal of 384254442 is 244452483.

384254442 is a `hidden beast` number, since 38 + 42 + 544 + 42 = 666.

Its product of digits (122880) is a multiple of the sum of its prime factors (160).

It is a junction number, because it is equal to n+sod(n) for n = 384254397 and 384254406.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3961338 + ... + 3961434.

It is an arithmetic number, because the mean of its divisors is an integer number (4820130).

Almost surely, 2^384254442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384254442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539854560).

384254442 is an abundant number, since it is smaller than the sum of its proper divisors (695454678).

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

384254442 is a wasteful number, since it uses less digits than its factorization.

384254442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 384254442 is about 19602.4090866403. The cubic root of 384254442 is about 727.0087405064.

The spelling of 384254442 in words is "three hundred eighty-four million, two hundred fifty-four thousand, four hundred forty-two".