381240000 has 280 divisors, whose sum is σ = 1404487920. Its totient is φ = 101376000.

The previous prime is 381239951. The next prime is 381240007. The reversal of 381240000 is 42183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (381240007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1079824 + ... + 1080176.

Almost surely, 2^381240000 is an apocalyptic number.

381240000 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 381240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702243960).

381240000 is an abundant number, since it is smaller than the sum of its proper divisors (1023247920).

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

381240000 is an equidigital number, since it uses as much as digits as its factorization.

381240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 381240000 is about 19525.3681143276. The cubic root of 381240000 is about 725.1026410368.

Adding to 381240000 its reverse (42183), we get a palindrome (381282183).

The spelling of 381240000 in words is "three hundred eighty-one million, two hundred forty thousand".