382825800 has 288 divisors, whose sum is σ = 1534366080. Its totient is φ = 83635200.

The previous prime is 382825799. The next prime is 382825801. The reversal of 382825800 is 8528283.

It is an interprime number because it is at equal distance from previous prime (382825799) and next prime (382825801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382825801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289140 + ... + 290460.

It is an arithmetic number, because the mean of its divisors is an integer number (5327660).

Almost surely, 2^382825800 is an apocalyptic number.

382825800 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 382825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767183040).

382825800 is an abundant number, since it is smaller than the sum of its proper divisors (1151540280).

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

382825800 is a wasteful number, since it uses less digits than its factorization.

382825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 382825800 is about 19565.9346825037. The cubic root of 382825800 is about 726.1066255070.

The spelling of 382825800 in words is "three hundred eighty-two million, eight hundred twenty-five thousand, eight hundred".