1353944480 has 96 divisors (see below), whose sum is σ = 3730406400. Its totient is φ = 464190720.

The previous prime is 1353944479. The next prime is 1353944521. The reversal of 1353944480 is 844493531.

It is a nialpdrome in base 14.

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 15 ways as a sum of consecutive naturals, for example, 42545 + ... + 67215.

It is an arithmetic number, because the mean of its divisors is an integer number (38858400).

Almost surely, 2^1353944480 is an apocalyptic number.

1353944480 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 1353944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865203200).

1353944480 is an abundant number, since it is smaller than the sum of its proper divisors (2376461920).

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

1353944480 is an equidigital number, since it uses as much as digits as its factorization.

1353944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24707 (or 24685 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 1353944480 is about 36795.9845635363. The cubic root of 1353944480 is about 1106.2848168897.

The spelling of 1353944480 in words is "one billion, three hundred fifty-three million, nine hundred forty-four thousand, four hundred eighty".