561038400 has 588 divisors, whose sum is σ = 2289271012. Its totient is φ = 134369280.

The previous prime is 561038393. The next prime is 561038407. The reversal of 561038400 is 4830165.

561038400 is a `hidden beast` number, since 5 + 610 + 3 + 8 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (561038393) and next prime (561038407).

It can be written as a sum of positive squares in 6 ways, for example, as 6718464 + 554319936 = 2592^2 + 23544^2 .

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 (561038407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15163182 + ... + 15163218.

Almost surely, 2^561038400 is an apocalyptic number.

561038400 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 561038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144635506).

561038400 is an abundant number, since it is smaller than the sum of its proper divisors (1728232612).

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

561038400 is a wasteful number, since it uses less digits than its factorization.

561038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 561038400 is about 23686.2491754182. The cubic root of 561038400 is about 824.7662147488.

Adding to 561038400 its reverse (4830165), we get a palindrome (565868565).

The spelling of 561038400 in words is "five hundred sixty-one million, thirty-eight thousand, four hundred".