554995200400 has 75 divisors (see below), whose sum is σ = 1340320635461. Its totient is φ = 220847831040.

The previous prime is 554995200367. The next prime is 554995200407. The reversal of 554995200400 is 4002599455.

The square root of 554995200400 is 744980.

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

It can be written as a sum of positive squares in 7 ways, for example, as 549241067664 + 5754132736 = 741108^2 + 75856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (554995200407) 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, 2875622704 + ... + 2875622896.

Almost surely, 2^554995200400 is an apocalyptic number.

554995200400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

554995200400 is the 744980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554995200400

554995200400 is an abundant number, since it is smaller than the sum of its proper divisors (785325435061).

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

554995200400 is an frugal number, since it uses more digits than its factorization.

554995200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

Adding to 554995200400 its reverse (4002599455), we get a palindrome (558997799855).

The spelling of 554995200400 in words is "five hundred fifty-four billion, nine hundred ninety-five million, two hundred thousand, four hundred".