382933440 has 448 divisors, whose sum is σ = 1474744320. Its totient is φ = 93265920.

The previous prime is 382933409. The next prime is 382933469. The reversal of 382933440 is 44339283.

It is a happy number.

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 = 382933395 and 382933404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8147497 + ... + 8147543.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^382933440 is an apocalyptic number.

382933440 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 382933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

382933440 is an abundant number, since it is smaller than the sum of its proper divisors (1091810880).

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

382933440 is a wasteful number, since it uses less digits than its factorization.

382933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 382933440 is about 19568.6851883309. The cubic root of 382933440 is about 726.1746728129.

The spelling of 382933440 in words is "three hundred eighty-two million, nine hundred thirty-three thousand, four hundred forty".