552429600 has 288 divisors, whose sum is σ = 1893253824. Its totient is φ = 139776000.

The previous prime is 552429583. The next prime is 552429623. The reversal of 552429600 is 6924255.

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 47 ways as a sum of consecutive naturals, for example, 5469550 + ... + 5469650.

It is an arithmetic number, because the mean of its divisors is an integer number (6573798).

Almost surely, 2^552429600 is an apocalyptic number.

552429600 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 552429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946626912).

552429600 is an abundant number, since it is smaller than the sum of its proper divisors (1340824224).

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

552429600 is a wasteful number, since it uses less digits than its factorization.

552429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 552429600 is about 23503.8209659621. The cubic root of 552429600 is about 820.5259366426.

The spelling of 552429600 in words is "five hundred fifty-two million, four hundred twenty-nine thousand, six hundred".