383772960 has 288 divisors, whose sum is σ = 1414878192. Its totient is φ = 94371840.

The previous prime is 383772913. The next prime is 383772967. The reversal of 383772960 is 69277383.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 231891984 + 151880976 = 15228^2 + 12324^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (383772967) 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, 1493152 + ... + 1493408.

Almost surely, 2^383772960 is an apocalyptic number.

383772960 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 383772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707439096).

383772960 is an abundant number, since it is smaller than the sum of its proper divisors (1031105232).

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

383772960 is a wasteful number, since it uses less digits than its factorization.

383772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 383772960 is about 19590.1240424863. The cubic root of 383772960 is about 726.7049592181.

The spelling of 383772960 in words is "three hundred eighty-three million, seven hundred seventy-two thousand, nine hundred sixty".