491952400 has 45 divisors (see below), whose sum is σ = 1182982351. Its totient is φ = 196603520.

The previous prime is 491952367. The next prime is 491952401. The reversal of 491952400 is 4259194.

The square root of 491952400 is 22180.

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 253064464 + 238887936 = 15908^2 + 15456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (491952401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 443046 + ... + 444154.

Almost surely, 2^491952400 is an apocalyptic number.

491952400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

491952400 is the 22180-th square number.

It is an amenable number.

491952400 is an abundant number, since it is smaller than the sum of its proper divisors (691029951).

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

491952400 is an equidigital number, since it uses as much as digits as its factorization.

491952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 491952400 is about 789.4192174197.

The spelling of 491952400 in words is "four hundred ninety-one million, nine hundred fifty-two thousand, four hundred".