562610400 has 288 divisors, whose sum is σ = 2027120256. Its totient is φ = 134400000.

The previous prime is 562610369. The next prime is 562610401. The reversal of 562610400 is 4016265.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562610401) 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, 2666295 + ... + 2666505.

It is an arithmetic number, because the mean of its divisors is an integer number (7038612).

Almost surely, 2^562610400 is an apocalyptic number.

562610400 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 562610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013560128).

562610400 is an abundant number, since it is smaller than the sum of its proper divisors (1464509856).

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

562610400 is a wasteful number, since it uses less digits than its factorization.

562610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 562610400 is about 23719.4097734324. The cubic root of 562610400 is about 825.5358135455.

Adding to 562610400 its reverse (4016265), we get a palindrome (566626665).

The spelling of 562610400 in words is "five hundred sixty-two million, six hundred ten thousand, four hundred".