992400493249 has 15 divisors (see below), whose sum is σ = 1091766372915. Its totient is φ = 902072685360.

The previous prime is 992400493219. The next prime is 992400493283. The reversal of 992400493249 is 942394004299.

The square root of 992400493249 is 996193.

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

It can be written as a sum of positive squares in only one way, i.e., 192391890625 + 800008602624 = 438625^2 + 894432^2 .

It is a de Polignac number, because none of the positive numbers 2^k-992400493249 is a prime.

It is a super-4 number, since 4×992400493249⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 992400493249.

It is not an unprimeable number, because it can be changed into a prime (992400493219) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 120535237 + ... + 120543469.

It is an arithmetic number, because the mean of its divisors is an integer number (72784424861).

Almost surely, 2^992400493249 is an apocalyptic number.

992400493249 is the 996193-rd square number.

992400493249 is the 498097-th centered octagonal number.

It is an amenable number.

992400493249 is a deficient number, since it is larger than the sum of its proper divisors (99365879666).

992400493249 is an frugal number, since it uses more digits than its factorization.

992400493249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16510 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 992400493249 in words is "nine hundred ninety-two billion, four hundred million, four hundred ninety-three thousand, two hundred forty-nine".