552146400 has 432 divisors, whose sum is σ = 2226513744. Its totient is φ = 127549440.

The previous prime is 552146393. The next prime is 552146411. The reversal of 552146400 is 4641255.

552146400 is a `hidden beast` number, since 5 + 5 + 2 + 14 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1591027 + ... + 1591373.

It is an arithmetic number, because the mean of its divisors is an integer number (5153967).

Almost surely, 2^552146400 is an apocalyptic number.

552146400 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 552146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113256872).

552146400 is an abundant number, since it is smaller than the sum of its proper divisors (1674367344).

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

552146400 is a wasteful number, since it uses less digits than its factorization.

552146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 552146400 is about 23497.7956412937. The cubic root of 552146400 is about 820.3856999713.

Adding to 552146400 its reverse (4641255), we get a palindrome (556787655).

The spelling of 552146400 in words is "five hundred fifty-two million, one hundred forty-six thousand, four hundred".