1484086324 has 72 divisors (see below), whose sum is σ = 3103629480. Its totient is φ = 618912000.

The previous prime is 1484086321. The next prime is 1484086327. The reversal of 1484086324 is 4236804841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1484086321) and next prime (1484086327).

It can be written as a sum of positive squares in 4 ways, for example, as 644245924 + 839840400 = 25382^2 + 28980^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484086321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206942 + ... + 1208170.

It is an arithmetic number, because the mean of its divisors is an integer number (43105965).

Almost surely, 2^1484086324 is an apocalyptic number.

1484086324 is a gapful number since it is divisible by the number (14) 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 1484086324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551814740).

1484086324 is an abundant number, since it is smaller than the sum of its proper divisors (1619543156).

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

1484086324 is a wasteful number, since it uses less digits than its factorization.

1484086324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 1484086324 is about 38523.8409819166. The cubic root of 1484086324 is about 1140.6517059553.

The spelling of 1484086324 in words is "one billion, four hundred eighty-four million, eighty-six thousand, three hundred twenty-four".