656250400 has 144 divisors (see below), whose sum is σ = 1747153800. Its totient is φ = 239247360.

The previous prime is 656250347. The next prime is 656250401. The reversal of 656250400 is 4052656.

It can be written as a sum of positive squares in 12 ways, for example, as 63425296 + 592825104 = 7964^2 + 24348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656250401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925246 + ... + 925954.

Almost surely, 2^656250400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873576900).

656250400 is an abundant number, since it is smaller than the sum of its proper divisors (1090903400).

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

656250400 is a wasteful number, since it uses less digits than its factorization.

656250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 656250400 is about 25617.3847220984. The cubic root of 656250400 is about 869.0068377817.

The spelling of 656250400 in words is "six hundred fifty-six million, two hundred fifty thousand, four hundred".