648925200 has 360 divisors, whose sum is σ = 2808826176. Its totient is φ = 134784000.

The previous prime is 648925177. The next prime is 648925219. The reversal of 648925200 is 2529846.

It is a happy number.

648925200 is a `hidden beast` number, since 6 + 48 + 92 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×648925200² = 842207830390080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276030 + ... + 278370.

Almost surely, 2^648925200 is an apocalyptic number.

648925200 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 648925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404413088).

648925200 is an abundant number, since it is smaller than the sum of its proper divisors (2159900976).

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

648925200 is a wasteful number, since it uses less digits than its factorization.

648925200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 648925200 is about 25474.0102849944. The cubic root of 648925200 is about 865.7613887106.

The spelling of 648925200 in words is "six hundred forty-eight million, nine hundred twenty-five thousand, two hundred".