562082400 has 432 divisors, whose sum is σ = 2222857728. Its totient is φ = 132480000.

The previous prime is 562082399. The next prime is 562082401. The reversal of 562082400 is 4280265.

562082400 is a `hidden beast` number, since 56 + 208 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (562082399) and next prime (562082401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562082401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3722325 + ... + 3722475.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^562082400 is an apocalyptic number.

562082400 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 562082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111428864).

562082400 is an abundant number, since it is smaller than the sum of its proper divisors (1660775328).

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

562082400 is a wasteful number, since it uses less digits than its factorization.

562082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 562082400 is about 23708.2770356684. The cubic root of 562082400 is about 825.2774824180.

The spelling of 562082400 in words is "five hundred sixty-two million, eighty-two thousand, four hundred".