1354948560 has 280 divisors, whose sum is σ = 5399594880. Its totient is φ = 309609216.

The previous prime is 1354948559. The next prime is 1354948583. The reversal of 1354948560 is 658494531.

1354948560 is a `hidden beast` number, since 1 + 3 + 5 + 49 + 48 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 406581 + ... + 409899.

Almost surely, 2^1354948560 is an apocalyptic number.

1354948560 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 1354948560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699797440).

1354948560 is an abundant number, since it is smaller than the sum of its proper divisors (4044646320).

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

1354948560 is an equidigital number, since it uses as much as digits as its factorization.

1354948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1354948560 is about 36809.6259149696. The cubic root of 1354948560 is about 1106.5582214988.

The spelling of 1354948560 in words is "one billion, three hundred fifty-four million, nine hundred forty-eight thousand, five hundred sixty".