648977280 has 256 divisors, whose sum is σ = 2391206400. Its totient is φ = 146644992.

The previous prime is 648977267. The next prime is 648977293. The reversal of 648977280 is 82779846.

It is an interprime number because it is at equal distance from previous prime (648977267) and next prime (648977293).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464739 + ... + 1465181.

It is an arithmetic number, because the mean of its divisors is an integer number (9340650).

Almost surely, 2^648977280 is an apocalyptic number.

648977280 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 648977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195603200).

648977280 is an abundant number, since it is smaller than the sum of its proper divisors (1742229120).

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

648977280 is a wasteful number, since it uses less digits than its factorization.

648977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 648977280 is about 25475.0324828056. The cubic root of 648977280 is about 865.7845488771.

The spelling of 648977280 in words is "six hundred forty-eight million, nine hundred seventy-seven thousand, two hundred eighty".