648400 has 30 divisors (see below), whose sum is σ = 1558742. Its totient is φ = 259200.

The previous prime is 648391. The next prime is 648433. The reversal of 648400 is 4846.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 553536 = 308^2 + 744^2 .

It is a congruent number.

It is an unprimeable number.

648400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 411 + ... + 1210.

2⁶⁴⁸⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

648400 is an abundant number, since it is smaller than the sum of its proper divisors (910342).

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

648400 is a wasteful number, since it uses less digits than its factorization.

648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 648400 is about 805.2328855679. The cubic root of 648400 is about 86.5527761063.

It can be divided in two parts, 64 and 8400, that added together give a square (8464 = 92²).

The spelling of 648400 in words is "six hundred forty-eight thousand, four hundred".