649334400 has 576 divisors, whose sum is σ = 2590563360. Its totient is φ = 141926400.

The previous prime is 649334383. The next prime is 649334509. The reversal of 649334400 is 4433946.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 71 ways as a sum of consecutive naturals, for example, 15100779 + ... + 15100821.

Almost surely, 2^649334400 is an apocalyptic number.

649334400 is a gapful number since it is divisible by the number (60) 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 649334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295281680).

649334400 is an abundant number, since it is smaller than the sum of its proper divisors (1941228960).

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

649334400 is a wasteful number, since it uses less digits than its factorization.

649334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 649334400 is about 25482.0407346037. The cubic root of 649334400 is about 865.9433280780.

The spelling of 649334400 in words is "six hundred forty-nine million, three hundred thirty-four thousand, four hundred".