1354913280 has 480 divisors, whose sum is σ = 5556215808. Its totient is φ = 298598400.

The previous prime is 1354913269. The next prime is 1354913281. The reversal of 1354913280 is 823194531.

1354913280 is a `hidden beast` number, since 1 + 3 + 549 + 1 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354913281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999545 + ... + 4999815.

Almost surely, 2^1354913280 is an apocalyptic number.

1354913280 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 1354913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778107904).

1354913280 is an abundant number, since it is smaller than the sum of its proper divisors (4201302528).

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

1354913280 is a wasteful number, since it uses less digits than its factorization.

1354913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1354913280 is about 36809.1466893760. The cubic root of 1354913280 is about 1106.5486172688.

The spelling of 1354913280 in words is "one billion, three hundred fifty-four million, nine hundred thirteen thousand, two hundred eighty".