554072400 has 450 divisors, whose sum is σ = 2319805950. Its totient is φ = 126282240.

The previous prime is 554072383. The next prime is 554072411. The reversal of 554072400 is 4270455.

554072400 is a `hidden beast` number, since 554 + 0 + 72 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 73410624 + 480661776 = 8568^2 + 21924^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587426 + ... + 1587774.

Almost surely, 2^554072400 is an apocalyptic number.

554072400 is a gapful number since it is divisible by the number (50) 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 554072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159902975).

554072400 is an abundant number, since it is smaller than the sum of its proper divisors (1765733550).

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

554072400 is a wasteful number, since it uses less digits than its factorization.

554072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 554072400 is about 23538.7425322594. The cubic root of 554072400 is about 821.3384842423.

The spelling of 554072400 in words is "five hundred fifty-four million, seventy-two thousand, four hundred".