1649462400 has 384 divisors, whose sum is σ = 6397358400. Its totient is φ = 413614080.

The previous prime is 1649462393. The next prime is 1649462401. The reversal of 1649462400 is 42649461.

1649462400 is a `hidden beast` number, since 1 + 649 + 4 + 6 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (1649462401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468239 + ... + 1469361.

Almost surely, 2^1649462400 is an apocalyptic number.

1649462400 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 1649462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198679200).

1649462400 is an abundant number, since it is smaller than the sum of its proper divisors (4747896000).

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

1649462400 is a wasteful number, since it uses less digits than its factorization.

1649462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1649462400 is about 40613.5740855197. The cubic root of 1649462400 is about 1181.5374004648.

The spelling of 1649462400 in words is "one billion, six hundred forty-nine million, four hundred sixty-two thousand, four hundred".