382987800 has 216 divisors, whose sum is σ = 1393856100. Its totient is φ = 94199040.

The previous prime is 382987783. The next prime is 382987823. The reversal of 382987800 is 8789283.

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 53 ways as a sum of consecutive naturals, for example, 303571 + ... + 304829.

Almost surely, 2^382987800 is an apocalyptic number.

382987800 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 382987800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696928050).

382987800 is an abundant number, since it is smaller than the sum of its proper divisors (1010868300).

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

382987800 is a wasteful number, since it uses less digits than its factorization.

382987800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 382987800 is about 19570.0740928592. The cubic root of 382987800 is about 726.2090329944.

The spelling of 382987800 in words is "three hundred eighty-two million, nine hundred eighty-seven thousand, eight hundred".