382272240 has 160 divisors (see below), whose sum is σ = 1364912640. Its totient is φ = 86694912.

The previous prime is 382272179. The next prime is 382272349. The reversal of 382272240 is 42272283.

It is a super-2 number, since 2×382272240² = 292264130949235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 382272198 and 382272207.

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, 232702 + ... + 234338.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2^382272240 is an apocalyptic number.

382272240 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 382272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

382272240 is an abundant number, since it is smaller than the sum of its proper divisors (982640400).

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

382272240 is a wasteful number, since it uses less digits than its factorization.

382272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 382272240 is about 19551.7835503567. The cubic root of 382272240 is about 725.7564771505.

The spelling of 382272240 in words is "three hundred eighty-two million, two hundred seventy-two thousand, two hundred forty".