552938400 has 720 divisors, whose sum is σ = 2450093184. Its totient is φ = 118609920.

The previous prime is 552938387. The next prime is 552938401. The reversal of 552938400 is 4839255.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (552938401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10432774 + ... + 10432826.

Almost surely, 2^552938400 is an apocalyptic number.

552938400 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 552938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225046592).

552938400 is an abundant number, since it is smaller than the sum of its proper divisors (1897154784).

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

552938400 is a wasteful number, since it uses less digits than its factorization.

552938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 552938400 is about 23514.6422469065. The cubic root of 552938400 is about 820.7777669160. Note that the first 4 decimals are identical.

The spelling of 552938400 in words is "five hundred fifty-two million, nine hundred thirty-eight thousand, four hundred".