1613354400 has 648 divisors, whose sum is σ = 7033260780. Its totient is φ = 345784320.

The previous prime is 1613354381. The next prime is 1613354411. The reversal of 1613354400 is 44533161.

1613354400 is a `hidden beast` number, since 1 + 613 + 3 + 5 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 409819536 + 1203534864 = 20244^2 + 34692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5997466 + ... + 5997734.

Almost surely, 2^1613354400 is an apocalyptic number.

1613354400 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 1613354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516630390).

1613354400 is an abundant number, since it is smaller than the sum of its proper divisors (5419906380).

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

1613354400 is a wasteful number, since it uses less digits than its factorization.

1613354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1613354400 is about 40166.5831257776. The cubic root of 1613354400 is about 1172.8521256193.

Adding to 1613354400 its reverse (44533161), we get a palindrome (1657887561).

The spelling of 1613354400 in words is "one billion, six hundred thirteen million, three hundred fifty-four thousand, four hundred".