1649354400 has 180 divisors, whose sum is σ = 6015111102. Its totient is φ = 439810560.

The previous prime is 1649354363. The next prime is 1649354407. The reversal of 1649354400 is 44539461.

1649354400 is a `hidden beast` number, since 1 + 649 + 3 + 5 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1211875344 + 437479056 = 34812^2 + 20916^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1649354407) 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 29 ways as a sum of consecutive naturals, for example, 52074 + ... + 77526.

Almost surely, 2^1649354400 is an apocalyptic number.

1649354400 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 1649354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007555551).

1649354400 is an abundant number, since it is smaller than the sum of its proper divisors (4365756702).

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

1649354400 is a wasteful number, since it uses less digits than its factorization.

1649354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25485 (or 25463 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1649354400 is about 40612.2444590298. The cubic root of 1649354400 is about 1181.5116125021.

The spelling of 1649354400 in words is "one billion, six hundred forty-nine million, three hundred fifty-four thousand, four hundred".