383520 has 96 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 94208.

The previous prime is 383519. The next prime is 383521. The reversal of 383520 is 25383.

It is an interprime number because it is at equal distance from previous prime (383519) and next prime (383521).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 383520.

It is not an unprimeable number, because it can be changed into a prime (383521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8137 + ... + 8183.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2³⁸³⁵²⁰ is an apocalyptic number.

383520 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 383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

383520 is an abundant number, since it is smaller than the sum of its proper divisors (922848).

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

383520 is a wasteful number, since it uses less digits than its factorization.

383520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 383520 is about 619.2899159521. The cubic root of 383520 is about 72.6545257424.

It can be divided in two parts, 383 and 520, that added together give a triangular number (903 = T₄₂).

The spelling of 383520 in words is "three hundred eighty-three thousand, five hundred twenty".