1823316480 has 280 divisors, whose sum is σ = 6561239652. Its totient is φ = 485720064.

The previous prime is 1823316463. The next prime is 1823316497. The reversal of 1823316480 is 846133281.

1823316480 is a `hidden beast` number, since 1 + 8 + 2 + 3 + 3 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1823316463) and next prime (1823316497).

It can be written as a sum of positive squares in 2 ways, for example, as 1755945216 + 67371264 = 41904^2 + 8208^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1865752 + ... + 1866728.

Almost surely, 2^1823316480 is an apocalyptic number.

1823316480 is a gapful number since it is divisible by the number (10) 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 1823316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280619826).

1823316480 is an abundant number, since it is smaller than the sum of its proper divisors (4737923172).

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

1823316480 is an frugal number, since it uses more digits than its factorization.

1823316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1823316480 is about 42700.3100691318. The cubic root of 1823316480 is about 1221.6703090986.

The spelling of 1823316480 in words is "one billion, eight hundred twenty-three million, three hundred sixteen thousand, four hundred eighty".