1354354400 has 144 divisors (see below), whose sum is σ = 3831567264. Its totient is φ = 457850880.

The previous prime is 1354354369. The next prime is 1354354427. The reversal of 1354354400 is 44534531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407144 + ... + 410456.

It is an arithmetic number, because the mean of its divisors is an integer number (26608106).

Almost surely, 2^1354354400 is an apocalyptic number.

1354354400 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 1354354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915783632).

1354354400 is an abundant number, since it is smaller than the sum of its proper divisors (2477212864).

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

1354354400 is a wasteful number, since it uses less digits than its factorization.

1354354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 1354354400 is about 36801.5543150014. The cubic root of 1354354400 is about 1106.3964518251.

Adding to 1354354400 its reverse (44534531), we get a palindrome (1398888931).

The spelling of 1354354400 in words is "one billion, three hundred fifty-four million, three hundred fifty-four thousand, four hundred".