648614400 has 480 divisors, whose sum is σ = 2597928960. Its totient is φ = 139345920.

The previous prime is 648614399. The next prime is 648614401. The reversal of 648614400 is 4416846.

It is an interprime number because it is at equal distance from previous prime (648614399) and next prime (648614401).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648614401) 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, 5107137 + ... + 5107263.

It is an arithmetic number, because the mean of its divisors is an integer number (5412352).

Almost surely, 2^648614400 is an apocalyptic number.

648614400 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 648614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298964480).

648614400 is an abundant number, since it is smaller than the sum of its proper divisors (1949314560).

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

648614400 is a wasteful number, since it uses less digits than its factorization.

648614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 648614400 is about 25467.9092192508. The cubic root of 648614400 is about 865.6231490444.

The spelling of 648614400 in words is "six hundred forty-eight million, six hundred fourteen thousand, four hundred".