552258000 has 400 divisors, whose sum is σ = 2284449024. Its totient is φ = 125971200.

The previous prime is 552257977. The next prime is 552258023. The reversal of 552258000 is 852255.

It is an interprime number because it is at equal distance from previous prime (552257977) and next prime (552258023).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1133757 + ... + 1134243.

Almost surely, 2^552258000 is an apocalyptic number.

552258000 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 552258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142224512).

552258000 is an abundant number, since it is smaller than the sum of its proper divisors (1732191024).

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

552258000 is a wasteful number, since it uses less digits than its factorization.

552258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 552258000 is about 23500.1702121495. The cubic root of 552258000 is about 820.4409684510.

The spelling of 552258000 in words is "five hundred fifty-two million, two hundred fifty-eight thousand".