655796400 has 360 divisors, whose sum is σ = 2576710080. Its totient is φ = 141765120.

The previous prime is 655796389. The next prime is 655796431. The reversal of 655796400 is 4697556.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1116907 + ... + 1117493.

It is an arithmetic number, because the mean of its divisors is an integer number (7157528).

Almost surely, 2^655796400 is an apocalyptic number.

655796400 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 655796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288355040).

655796400 is an abundant number, since it is smaller than the sum of its proper divisors (1920913680).

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

655796400 is a wasteful number, since it uses less digits than its factorization.

655796400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 655796400 is about 25608.5220190467. The cubic root of 655796400 is about 868.8063959387.

The spelling of 655796400 in words is "six hundred fifty-five million, seven hundred ninety-six thousand, four hundred".