1236408480 has 144 divisors (see below), whose sum is σ = 4228477344. Its totient is φ = 328988160.

The previous prime is 1236408457. The next prime is 1236408491. The reversal of 1236408480 is 848046321.

1236408480 is a `hidden beast` number, since 1 + 2 + 3 + 640 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132735 + ... + 1133825.

It is an arithmetic number, because the mean of its divisors is an integer number (29364426).

Almost surely, 2^1236408480 is an apocalyptic number.

1236408480 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 1236408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114238672).

1236408480 is an abundant number, since it is smaller than the sum of its proper divisors (2992068864).

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

1236408480 is a wasteful number, since it uses less digits than its factorization.

1236408480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1236408480 is about 35162.6005864185. The cubic root of 1236408480 is about 1073.2988359560.

The spelling of 1236408480 in words is "one billion, two hundred thirty-six million, four hundred eight thousand, four hundred eighty".