552114000 has 240 divisors, whose sum is σ = 1982856720. Its totient is φ = 143078400.

The previous prime is 552113993. The next prime is 552114007. The reversal of 552114000 is 411255.

552114000 is a `hidden beast` number, since 5 + 521 + 140 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (552113993) and next prime (552114007).

It can be written as a sum of positive squares in 8 ways, for example, as 61402896 + 490711104 = 7836^2 + 22152^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552114007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665586 + ... + 666414.

It is an arithmetic number, because the mean of its divisors is an integer number (8261903).

Almost surely, 2^552114000 is an apocalyptic number.

552114000 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 552114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991428360).

552114000 is an abundant number, since it is smaller than the sum of its proper divisors (1430742720).

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

552114000 is a wasteful number, since it uses less digits than its factorization.

552114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 552114000 is about 23497.1062048074. The cubic root of 552114000 is about 820.3696528887.

Adding to 552114000 its reverse (411255), we get a palindrome (552525255).

The spelling of 552114000 in words is "five hundred fifty-two million, one hundred fourteen thousand".