1353453984 has 36 divisors (see below), whose sum is σ = 3848885586. Its totient is φ = 451151232.

The previous prime is 1353453977. The next prime is 1353453989. The reversal of 1353453984 is 4893543531.

1353453984 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 539 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1352768400 + 685584 = 36780^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1353453989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2349459 + ... + 2350034.

Almost surely, 2^1353453984 is an apocalyptic number.

It is an amenable number.

1353453984 is an abundant number, since it is smaller than the sum of its proper divisors (2495431602).

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

1353453984 is a wasteful number, since it uses less digits than its factorization.

1353453984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699509 (or 4699498 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1353453984 is about 36789.3188846980. The cubic root of 1353453984 is about 1106.1512087974.

The spelling of 1353453984 in words is "one billion, three hundred fifty-three million, four hundred fifty-three thousand, nine hundred eighty-four".