383430240 has 384 divisors, whose sum is σ = 1489259520. Its totient is φ = 91643904.

The previous prime is 383430221. The next prime is 383430251. The reversal of 383430240 is 42034383.

383430240 is a `hidden beast` number, since 383 + 43 + 0 + 240 = 666.

383430240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1689007 + ... + 1689233.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2^383430240 is an apocalyptic number.

383430240 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 383430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744629760).

383430240 is an abundant number, since it is smaller than the sum of its proper divisors (1105829280).

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

383430240 is a wasteful number, since it uses less digits than its factorization.

383430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 383430240 is about 19581.3748240516. The cubic root of 383430240 is about 726.4885721659.

The spelling of 383430240 in words is "three hundred eighty-three million, four hundred thirty thousand, two hundred forty".