649400400 has 540 divisors, whose sum is σ = 2652913536. Its totient is φ = 145728000.

The previous prime is 649400399. The next prime is 649400429. The reversal of 649400400 is 4004946.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 20948385 + ... + 20948415.

Almost surely, 2^649400400 is an apocalyptic number.

649400400 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 649400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326456768).

649400400 is an abundant number, since it is smaller than the sum of its proper divisors (2003513136).

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

649400400 is a wasteful number, since it uses less digits than its factorization.

649400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 649400400 is about 25483.3357314148. The cubic root of 649400400 is about 865.9726659781.

The spelling of 649400400 in words is "six hundred forty-nine million, four hundred thousand, four hundred".