1354410000 has 300 divisors, whose sum is σ = 4815567900. Its totient is φ = 355200000.

The previous prime is 1354409989. The next prime is 1354410007. The reversal of 1354410000 is 144531.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 951845904 + 402564096 = 30852^2 + 20064^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1354410007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9089926 + ... + 9090074.

It is an arithmetic number, because the mean of its divisors is an integer number (16051893).

Almost surely, 2^1354410000 is an apocalyptic number.

1354410000 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 1354410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407783950).

1354410000 is an abundant number, since it is smaller than the sum of its proper divisors (3461157900).

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

1354410000 is a wasteful number, since it uses less digits than its factorization.

1354410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1354410000 is about 36802.3097101255. The cubic root of 1354410000 is about 1106.4115918310.

Adding to 1354410000 its reverse (144531), we get a palindrome (1354554531).

The spelling of 1354410000 in words is "one billion, three hundred fifty-four million, four hundred ten thousand".