1349154400 has 72 divisors (see below), whose sum is σ = 3593066904. Its totient is φ = 490598400.

The previous prime is 1349154383. The next prime is 1349154407. The reversal of 1349154400 is 44519431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349154407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 67857 + ... + 85456.

It is an arithmetic number, because the mean of its divisors is an integer number (49903707).

Almost surely, 2^1349154400 is an apocalyptic number.

1349154400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349154400 is an abundant number, since it is smaller than the sum of its proper divisors (2243912504).

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

1349154400 is a wasteful number, since it uses less digits than its factorization.

1349154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153344 (or 153331 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1349154400 is about 36730.8371807668. The cubic root of 1349154400 is about 1104.9786445782.

The spelling of 1349154400 in words is "one billion, three hundred forty-nine million, one hundred fifty-four thousand, four hundred".