649121400 has 144 divisors (see below), whose sum is σ = 2250480960. Its totient is φ = 167500800.

The previous prime is 649121399. The next prime is 649121419. The reversal of 649121400 is 4121946.

649121400 is a `hidden beast` number, since 649 + 1 + 2 + 14 + 0 + 0 = 666.

649121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 49984 + ... + 61616.

It is an arithmetic number, because the mean of its divisors is an integer number (15628340).

Almost surely, 2^649121400 is an apocalyptic number.

649121400 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 649121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125240480).

649121400 is an abundant number, since it is smaller than the sum of its proper divisors (1601359560).

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

649121400 is a wasteful number, since it uses less digits than its factorization.

649121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686 (or 11674 counting only the distinct ones).

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

The square root of 649121400 is about 25477.8609777195. The cubic root of 649121400 is about 865.8486331101.

The spelling of 649121400 in words is "six hundred forty-nine million, one hundred twenty-one thousand, four hundred".