1354240000 has 195 divisors, whose sum is σ = 3537635563. Its totient is φ = 518144000.

The previous prime is 1354239967. The next prime is 1354240001. The reversal of 1354240000 is 424531.

The square root of 1354240000 is 36800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 106172416 + 1248067584 = 10304^2 + 35328^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1354240000.

It is not an unprimeable number, because it can be changed into a prime (1354240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 58879989 + ... + 58880011.

Almost surely, 2^1354240000 is an apocalyptic number.

1354240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1354240000 is the 36800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354240000

1354240000 is an abundant number, since it is smaller than the sum of its proper divisors (2183395563).

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

1354240000 is an frugal number, since it uses more digits than its factorization.

1354240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 1354240000 is about 1106.3652991426.

Adding to 1354240000 its reverse (424531), we get a palindrome (1354664531).

The spelling of 1354240000 in words is "one billion, three hundred fifty-four million, two hundred forty thousand".