384422640 has 240 divisors, whose sum is σ = 1404722592. Its totient is φ = 86704128.

The previous prime is 384422639. The next prime is 384422641. The reversal of 384422640 is 46224483.

It is an interprime number because it is at equal distance from previous prime (384422639) and next prime (384422641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×384422640² = 295561532289139200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384422641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140552 + ... + 1140888.

Almost surely, 2^384422640 is an apocalyptic number.

384422640 is a gapful number since it is divisible by the number (30) 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 384422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702361296).

384422640 is an abundant number, since it is smaller than the sum of its proper divisors (1020299952).

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

384422640 is a wasteful number, since it uses less digits than its factorization.

384422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 384422640 is about 19606.6988552382. The cubic root of 384422640 is about 727.1148018078.

The spelling of 384422640 in words is "three hundred eighty-four million, four hundred twenty-two thousand, six hundred forty".