1827241416 has 448 divisors, whose sum is σ = 6918952320. Its totient is φ = 436700160.

The previous prime is 1827241393. The next prime is 1827241421. The reversal of 1827241416 is 6141427281.

It is a happy number.

It is a super-2 number, since 2×1827241416² = 6677622384691370112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5837676 + ... + 5837988.

It is an arithmetic number, because the mean of its divisors is an integer number (15444090).

Almost surely, 2^1827241416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827241416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459476160).

1827241416 is an abundant number, since it is smaller than the sum of its proper divisors (5091710904).

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

1827241416 is a wasteful number, since it uses less digits than its factorization.

1827241416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1827241416 is about 42746.2444666195. The cubic root of 1827241416 is about 1222.5462845211.

Adding to 1827241416 its reverse (6141427281), we get a palindrome (7968668697).

The spelling of 1827241416 in words is "one billion, eight hundred twenty-seven million, two hundred forty-one thousand, four hundred sixteen".