1353905280 has 960 divisors, whose sum is σ = 6204817080. Its totient is φ = 278691840.

The previous prime is 1353905261. The next prime is 1353905317. The reversal of 1353905280 is 825093531.

It can be written as a sum of positive squares in 4 ways, for example, as 469675584 + 884229696 = 21672^2 + 29736^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 33022060 + ... + 33022100.

Almost surely, 2^1353905280 is an apocalyptic number.

1353905280 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 1353905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102408540).

1353905280 is an abundant number, since it is smaller than the sum of its proper divisors (4850911800).

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

1353905280 is a wasteful number, since it uses less digits than its factorization.

1353905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1353905280 is about 36795.4518928631. The cubic root of 1353905280 is about 1106.2741402374.

The spelling of 1353905280 in words is "one billion, three hundred fifty-three million, nine hundred five thousand, two hundred eighty".