917725680400 has 135 divisors (see below), whose sum is σ = 2327910930783. Its totient is φ = 347631782400.

The previous prime is 917725680373. The next prime is 917725680407. The reversal of 917725680400 is 4086527719.

The square root of 917725680400 is 957980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 562338011664 + 355387668736 = 749892^2 + 596144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (917725680407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364031140 + ... + 364033660.

Almost surely, 2^917725680400 is an apocalyptic number.

917725680400 is the 957980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 917725680400

917725680400 is an abundant number, since it is smaller than the sum of its proper divisors (1410185250383).

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

917725680400 is an equidigital number, since it uses as much as digits as its factorization.

917725680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 917725680400 by its sum of digits (49), we get a square (44968558339600 = 6705860²).

The spelling of 917725680400 in words is "nine hundred seventeen billion, seven hundred twenty-five million, six hundred eighty thousand, four hundred".