382540800 has 264 divisors, whose sum is σ = 1343257776. Its totient is φ = 95682560.

The previous prime is 382540799. The next prime is 382540801. The reversal of 382540800 is 8045283.

It is an interprime number because it is at equal distance from previous prime (382540799) and next prime (382540801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382540801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305454 + ... + 1305746.

Almost surely, 2^382540800 is an apocalyptic number.

382540800 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 382540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671628888).

382540800 is an abundant number, since it is smaller than the sum of its proper divisors (960716976).

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

382540800 is a wasteful number, since it uses less digits than its factorization.

382540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 382540800 is about 19558.6502601790. The cubic root of 382540800 is about 725.9263940433.

The spelling of 382540800 in words is "three hundred eighty-two million, five hundred forty thousand, eight hundred".