562790400 has 192 divisors, whose sum is σ = 1869058200. Its totient is φ = 149422080.

The previous prime is 562790377. The next prime is 562790401. The reversal of 562790400 is 4097265.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562790401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457486 + ... + 2457714.

Almost surely, 2^562790400 is an apocalyptic number.

562790400 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 562790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934529100).

562790400 is an abundant number, since it is smaller than the sum of its proper divisors (1306267800).

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

562790400 is an equidigital number, since it uses as much as digits as its factorization.

562790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 562790400 is about 23723.2038308488. The cubic root of 562790400 is about 825.6238440322.

The spelling of 562790400 in words is "five hundred sixty-two million, seven hundred ninety thousand, four hundred".