1649120400 has 180 divisors, whose sum is σ = 5769567232. Its totient is φ = 436181760.

The previous prime is 1649120399. The next prime is 1649120567. The reversal of 1649120400 is 40219461.

1649120400 is a `hidden beast` number, since 1 + 649 + 12 + 0 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 455397 + ... + 459003.

Almost surely, 2^1649120400 is an apocalyptic number.

1649120400 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 1649120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884783616).

1649120400 is an abundant number, since it is smaller than the sum of its proper divisors (4120446832).

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

1649120400 is a wasteful number, since it uses less digits than its factorization.

1649120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1649120400 is about 40609.3634522877. The cubic root of 1649120400 is about 1181.4557347209.

Adding to 1649120400 its reverse (40219461), we get a palindrome (1689339861).

The spelling of 1649120400 in words is "one billion, six hundred forty-nine million, one hundred twenty thousand, four hundred".