382693920 has 288 divisors, whose sum is σ = 1433412288. Its totient is φ = 85542912.

The previous prime is 382693873. The next prime is 382693957. The reversal of 382693920 is 29396283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246407 + ... + 1246713.

It is an arithmetic number, because the mean of its divisors is an integer number (4977126).

Almost surely, 2^382693920 is an apocalyptic number.

382693920 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 382693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716706144).

382693920 is an abundant number, since it is smaller than the sum of its proper divisors (1050718368).

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

382693920 is a wasteful number, since it uses less digits than its factorization.

382693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 382693920 is about 19562.5642490958. The cubic root of 382693920 is about 726.0232368918.

The spelling of 382693920 in words is "three hundred eighty-two million, six hundred ninety-three thousand, nine hundred twenty".