1355454400 has 84 divisors (see below), whose sum is σ = 3480370992. Its totient is φ = 518594560.

The previous prime is 1355454391. The next prime is 1355454407. The reversal of 1355454400 is 44545531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355454407) 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, 18384 + ... + 55216.

It is an arithmetic number, because the mean of its divisors is an integer number (41432988).

Almost surely, 2^1355454400 is an apocalyptic number.

1355454400 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 1355454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740185496).

1355454400 is an abundant number, since it is smaller than the sum of its proper divisors (2124916592).

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

1355454400 is a wasteful number, since it uses less digits than its factorization.

1355454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36878 (or 36863 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 1355454400 is about 36816.4963026087. The cubic root of 1355454400 is about 1106.6959073579.

Adding to 1355454400 its reverse (44545531), we get a palindrome (1399999931).

The spelling of 1355454400 in words is "one billion, three hundred fifty-five million, four hundred fifty-four thousand, four hundred".