1353402080 has 48 divisors (see below), whose sum is σ = 3201617664. Its totient is φ = 540648960.

The previous prime is 1353402049. The next prime is 1353402101. The reversal of 1353402080 is 802043531.

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 7 ways as a sum of consecutive naturals, for example, 126209 + ... + 136511.

It is an arithmetic number, because the mean of its divisors is an integer number (66700368).

Almost surely, 2^1353402080 is an apocalyptic number.

1353402080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353402080 is an abundant number, since it is smaller than the sum of its proper divisors (1848215584).

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

1353402080 is a wasteful number, since it uses less digits than its factorization.

1353402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1353402080 is about 36788.6134557963. The cubic root of 1353402080 is about 1106.1370685786.

The spelling of 1353402080 in words is "one billion, three hundred fifty-three million, four hundred two thousand, eighty".