1335508480 has 80 divisors (see below), whose sum is σ = 3370744080. Its totient is φ = 506068992.

The previous prime is 1335508463. The next prime is 1335508487. The reversal of 1335508480 is 848055331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335508487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34912 + ... + 62368.

It is an arithmetic number, because the mean of its divisors is an integer number (42134301).

Almost surely, 2^1335508480 is an apocalyptic number.

1335508480 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 1335508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685372040).

1335508480 is an abundant number, since it is smaller than the sum of its proper divisors (2035235600).

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

1335508480 is an equidigital number, since it uses as much as digits as its factorization.

1335508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27499 (or 27483 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 1335508480 is about 36544.6094520108. The cubic root of 1335508480 is about 1101.2406057993.

The spelling of 1335508480 in words is "one billion, three hundred thirty-five million, five hundred eight thousand, four hundred eighty".