1353819480 has 256 divisors, whose sum is σ = 4702924800. Its totient is φ = 308797440.

The previous prime is 1353819479. The next prime is 1353819517. The reversal of 1353819480 is 849183531.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1882561 + ... + 1883279.

It is an arithmetic number, because the mean of its divisors is an integer number (18370800).

Almost surely, 2^1353819480 is an apocalyptic number.

1353819480 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 1353819480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351462400).

1353819480 is an abundant number, since it is smaller than the sum of its proper divisors (3349105320).

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

1353819480 is a wasteful number, since it uses less digits than its factorization.

1353819480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1353819480 is about 36794.2859694274. The cubic root of 1353819480 is about 1106.2507707231.

The spelling of 1353819480 in words is "one billion, three hundred fifty-three million, eight hundred nineteen thousand, four hundred eighty".