1350305280 has 240 divisors, whose sum is σ = 4730188320. Its totient is φ = 355958784.

The previous prime is 1350305267. The next prime is 1350305293. The reversal of 1350305280 is 825030531.

1350305280 is a `hidden beast` number, since 1 + 350 + 30 + 5 + 280 = 666.

1350305280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1350305267) and next prime (1350305293).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2372836 + ... + 2373404.

It is an arithmetic number, because the mean of its divisors is an integer number (19709118).

Almost surely, 2^1350305280 is an apocalyptic number.

1350305280 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 1350305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365094160).

1350305280 is an abundant number, since it is smaller than the sum of its proper divisors (3379883040).

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

1350305280 is a wasteful number, since it uses less digits than its factorization.

1350305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1350305280 is about 36746.5002415196. The cubic root of 1350305280 is about 1105.2927515456.

The spelling of 1350305280 in words is "one billion, three hundred fifty million, three hundred five thousand, two hundred eighty".