552614400 has 600 divisors, whose sum is σ = 2256316524. Its totient is φ = 132710400.

The previous prime is 552614389. The next prime is 552614407. The reversal of 552614400 is 4416255.

552614400 = 160² + 161² + ... + 1184².

552614400 is a `hidden beast` number, since 5 + 5 + 2 + 614 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15116544 + 537497856 = 3888^2 + 23184^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (552614407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13478380 + ... + 13478420.

Almost surely, 2^552614400 is an apocalyptic number.

552614400 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 552614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128158262).

552614400 is an abundant number, since it is smaller than the sum of its proper divisors (1703702124).

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

552614400 is a wasteful number, since it uses less digits than its factorization.

552614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

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

The square root of 552614400 is about 23507.7519129329. The cubic root of 552614400 is about 820.6174211733.

The spelling of 552614400 in words is "five hundred fifty-two million, six hundred fourteen thousand, four hundred".