383130240 has 256 divisors, whose sum is σ = 1299594240. Its totient is φ = 95846400.

The previous prime is 383130239. The next prime is 383130259. The reversal of 383130240 is 42031383.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 383130240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440242 + ... + 2440398.

It is an arithmetic number, because the mean of its divisors is an integer number (5076540).

Almost surely, 2^383130240 is an apocalyptic number.

383130240 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 383130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649797120).

383130240 is an abundant number, since it is smaller than the sum of its proper divisors (916464000).

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

383130240 is a wasteful number, since it uses less digits than its factorization.

383130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 383130240 is about 19573.7129845106. The cubic root of 383130240 is about 726.2990518700.

The spelling of 383130240 in words is "three hundred eighty-three million, one hundred thirty thousand, two hundred forty".