382969440 has 144 divisors (see below), whose sum is σ = 1493620128. Its totient is φ = 87533568.

The previous prime is 382969427. The next prime is 382969451. The reversal of 382969440 is 44969283.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8917 + ... + 29076.

It is an arithmetic number, because the mean of its divisors is an integer number (10372362).

Almost surely, 2^382969440 is an apocalyptic number.

382969440 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 382969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746810064).

382969440 is an abundant number, since it is smaller than the sum of its proper divisors (1110650688).

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

382969440 is a wasteful number, since it uses less digits than its factorization.

382969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38021 (or 38010 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 382969440 is about 19569.6050036785. The cubic root of 382969440 is about 726.1974282636.

The spelling of 382969440 in words is "three hundred eighty-two million, nine hundred sixty-nine thousand, four hundred forty".