1354985280 has 448 divisors, whose sum is σ = 5332780800. Its totient is φ = 321085440.

The previous prime is 1354985267. The next prime is 1354985311. The reversal of 1354985280 is 825894531.

1354985280 is a `hidden beast` number, since 1 + 3 + 549 + 85 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5036986 + ... + 5037254.

Almost surely, 2^1354985280 is an apocalyptic number.

1354985280 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 1354985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666390400).

1354985280 is an abundant number, since it is smaller than the sum of its proper divisors (3977795520).

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

1354985280 is a wasteful number, since it uses less digits than its factorization.

1354985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1354985280 is about 36810.1246941653. The cubic root of 1354985280 is about 1106.5682175612.

The spelling of 1354985280 in words is "one billion, three hundred fifty-four million, nine hundred eighty-five thousand, two hundred eighty".