1812264480 has 288 divisors, whose sum is σ = 6719993280. Its totient is φ = 442091520.

The previous prime is 1812264451. The next prime is 1812264497. The reversal of 1812264480 is 844622181.

1812264480 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 2 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2451951 + ... + 2452689.

It is an arithmetic number, because the mean of its divisors is an integer number (23333310).

Almost surely, 2^1812264480 is an apocalyptic number.

1812264480 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 1812264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359996640).

1812264480 is an abundant number, since it is smaller than the sum of its proper divisors (4907728800).

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

1812264480 is a wasteful number, since it uses less digits than its factorization.

1812264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1812264480 is about 42570.6997828319. The cubic root of 1812264480 is about 1219.1969273694.

The spelling of 1812264480 in words is "one billion, eight hundred twelve million, two hundred sixty-four thousand, four hundred eighty".