1649494800 has 240 divisors, whose sum is σ = 5913302080. Its totient is φ = 436700160.

The previous prime is 1649494783. The next prime is 1649494813. The reversal of 1649494800 is 84949461.

1649494800 is a `hidden beast` number, since 164 + 9 + 4 + 9 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759932 + ... + 1760868.

Almost surely, 2^1649494800 is an apocalyptic number.

1649494800 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 1649494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956651040).

1649494800 is an abundant number, since it is smaller than the sum of its proper divisors (4263807280).

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

1649494800 is a wasteful number, since it uses less digits than its factorization.

1649494800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1649494800 is about 40613.9729649784. The cubic root of 1649494800 is about 1181.5451366341.

The spelling of 1649494800 in words is "one billion, six hundred forty-nine million, four hundred ninety-four thousand, eight hundred".