562784400 has 90 divisors (see below), whose sum is σ = 1953030690. Its totient is φ = 150074880.

The previous prime is 562784363. The next prime is 562784429. The reversal of 562784400 is 4487265.

It can be written as a sum of positive squares in 3 ways, for example, as 34152336 + 528632064 = 5844^2 + 22992^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74565 + ... + 81764.

It is an arithmetic number, because the mean of its divisors is an integer number (21700341).

Almost surely, 2^562784400 is an apocalyptic number.

562784400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

562784400 is an abundant number, since it is smaller than the sum of its proper divisors (1390246290).

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

562784400 is a wasteful number, since it uses less digits than its factorization.

562784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156353 (or 156339 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 562784400 is about 23723.0773720443. The cubic root of 562784400 is about 825.6209099851.

The spelling of 562784400 in words is "five hundred sixty-two million, seven hundred eighty-four thousand, four hundred".