383772240 has 120 divisors (see below), whose sum is σ = 1293194760. Its totient is φ = 101993472.

The previous prime is 383772211. The next prime is 383772271. The reversal of 383772240 is 42277383.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 381186576 = 1608^2 + 19524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×383772240² = 294562264389235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 383772195 and 383772204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267846 + ... + 269274.

It is an arithmetic number, because the mean of its divisors is an integer number (10776623).

Almost surely, 2^383772240 is an apocalyptic number.

383772240 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 383772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646597380).

383772240 is an abundant number, since it is smaller than the sum of its proper divisors (909422520).

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

383772240 is a wasteful number, since it uses less digits than its factorization.

383772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 383772240 is about 19590.1056658712. The cubic root of 383772240 is about 726.7045047585.

The spelling of 383772240 in words is "three hundred eighty-three million, seven hundred seventy-two thousand, two hundred forty".